Title: angles
Course: quiz duplicate error

Q: Rays AB and BC are perpendicular. Point D lies in the interior of [Image]. If [Image] and [Image], find [Image] and [Image].
- 8, 90 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 55, 125 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 21, 69 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 25, 65 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 25, 65

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] and [Image], what is [Image]?
- 26.67 ([Image])
- 13 ([Image])
- 41 ([Image])
- 15.67 ([Image])
A: 41

Q: Use the figure to find the angles.
[Image]

Name two obtuse vertical angles.
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Obtuse angles measure greater than 90 degrees.)
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Obtuse angles measure greater than 90 degrees.)
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Obtuse angles measure greater than 90 degrees.)
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Obtuse angles measure greater than 90 degrees.)
A: [Image]

Q: Measure the angle and classify it as right, acute, or obtuse.
[Image]

[Image]
- 114, acute (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 66, obtuse (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 109, obtuse (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 71, acute (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
A: 71, acute

Q: [Image]. Point M lies on [Image]. If [Image], find t.
- 21 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 16 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 14 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 36 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 21

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] is a right angle and [Image], what is x?
- 5.5 ([Image])
- 9.5 ([Image])
- 45 ([Image])
- 30 ([Image])
A: 5.5

Q: [Image]. Point H lies on [Image]. Point J lies in the interior of [Image]. If [Image] and [Image], find [Image].
- 30 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 42 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 48 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 108 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 48

Q: Two angles are supplementary. One angle measures 26^o more than the other one. Find the measure of the two angles.
- 77, 103 (Supplementary angles are two angles whose measures have a sum of 180.)
- 32, 58 (Supplementary angles are two angles whose measures have a sum of 180.)
- 167, 193 (Supplementary angles are two angles whose measures have a sum of 180.)
- 76, 104 (Supplementary angles are two angles whose measures have a sum of 180.)
A: 77, 103

Q: Find [Image] if [Image] is six more than three times its complement.
- 136.5 (Complementary angles are two angles whose measures have a sum of 90.)
- 43.5 (Complementary angles are two angles whose measures have a sum of 90.)
- 21 (Complementary angles are two angles whose measures have a sum of 90.)
- 69 (Complementary angles are two angles whose measures have a sum of 90.)
A: 69

Q: If [Image] and [Image], find y such that [Image].
- 7.5 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 8.86 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 4 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 10.43 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 4

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] and [Image], what is [Image]?
- 153 ([Image])
- 33 ([Image])
- 27 ([Image])
- 12 ([Image])
A: 27

Q: In the figure, [Image] bisects [Image].
[Image]

If [Image] and [Image], find x.
- 33 (Since [Image] bisects [Image], [Image] and [Image]. Solve for v, then substitute into either side of the equation to find x.)
- 58 (Since [Image] bisects [Image], [Image] and [Image]. Solve for v, then substitute into either side of the equation to find x.)
- 11 (Since [Image] bisects [Image], [Image] and [Image]. Solve for v, then substitute into either side of the equation to find x.)
- 29 (Since [Image] bisects [Image], [Image] and [Image]. Solve for v, then substitute into either side of the equation to find x.)
A: 29

Q: In the figure, [Image] bisects [Image].
[Image]

If [Image] and [Image], find x (x is angle FGK).
- 33 (Since [Image] bisects [Image], [Image] and [Image]. Solve for v, then substitute into either side of the equation to find x.)
- 58 (Since [Image] bisects [Image], [Image] and [Image]. Solve for v, then substitute into either side of the equation to find x.)
- 11 (Since [Image] bisects [Image], [Image] and [Image]. Solve for v, then substitute into either side of the equation to find x.)
- 29 (Since [Image] bisects [Image], [Image] and [Image]. Solve for v, then substitute into either side of the equation to find x.)
A: 29

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] and [Image], what is [Image]?
- 137 ([Image])
- 12 ([Image])
- 4.2 ([Image])
- 43 ([Image])
A: 43

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

What bisects [Image]?
- P (A ray bisects an angle. K is the endpoint of that ray, not P. The answer is [Image].)
- [Image] (A ray bisects an angle. K is the endpoint of that ray, not P. The answer is [Image].)
- [Image] (A ray bisects an angle. K is the endpoint of that ray, not P. The answer is [Image].)
- [Image] (A ray bisects an angle. K is the endpoint of that ray, not P. The answer is [Image].)
A: [Image]

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

Which is NOT true about [Image]?
- [Image] is acute. ([Image] so it is obtuse.)
- [Image] ([Image] so it is obtuse.)
- Point M lies in the interior of [Image]. ([Image] so it is obtuse.)
- It is an angle bisector. ([Image] so it is obtuse.)
A: [Image] is acute.

Q: Measure the angle.

[Image]
- 61 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 119 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 72 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 108 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
A: 72

Q: Rays CD and DA are perpendicular. Point E lies in the interior of [Image]. If [Image] and [Image], find [Image].
- 16 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 27 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 55 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 63 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 63

Q: If [Image] and [Image], find a such that [Image] is a right angle.
- 19.5 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 18 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 27 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 40.5 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 18

Q: Use the figure to find the angles.
[Image]

Name a linear pair.
- [Image] (A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.)
- [Image] (A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.)
- [Image] (A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.)
- [Image] (A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.)
A: [Image]

Q: The measure of an angle’s supplement is 24 less than twice the measure of the angle. Find the measure of the angle and its supplement.
- 38, 52 (Supplementary angles are two angles whose measures have a sum of 180.)
- 52, 38 (Supplementary angles are two angles whose measures have a sum of 180.)
- 68, 112 (Supplementary angles are two angles whose measures have a sum of 180.)
- 112, 68 (Supplementary angles are two angles whose measures have a sum of 180.)
A: 68, 112

Q: The measure of an angle’s supplement is 24 less than twice the measure of the angle. Find the measure of the angle and its supplement.
- 38, 52 (Supplementary angles are two angles whose measures have a sum of 180.)
- 52, 38 (Supplementary angles are two angles whose measures have a sum of 180.)
- 68, 112 (Supplementary angles are two angles whose measures have a sum of 180.)
- 112, 68 (Supplementary angles are two angles whose measures have a sum of 180.)
A: 68, 112 / 112, 68

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] and [Image], what is [Image]?
- 108 ([Image])
- 14 ([Image])
- 54 ([Image])
- 72 ([Image])
A: 108

Q: Use the figure to find the angles.
[Image]

Name an angle supplementary to [Image].
- [Image] (Supplementary angles are two angles whose measures have a sum of 180.)
- [Image] (Supplementary angles are two angles whose measures have a sum of 180.)
- [Image] (Supplementary angles are two angles whose measures have a sum of 180.)
- [Image] (Supplementary angles are two angles whose measures have a sum of 180.)
A: [Image]

Q: Judging by appearance, find the measure of the angle and classify it as right, acute, or obtuse.
[Image]

[Image]
- 84, acute (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 79, obtuse (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 99, obtuse (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 101, acute (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
A: 84, acute

Q: Judging by appearance, estimate the measure of the angle and classify it as right, acute, or obtuse.
[Image]

[Image]
- 84, acute (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 79, obtuse (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 99, obtuse (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 101, acute (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
A: 84, acute

Q: If [Image], find z such that [Image].
- 11 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 4 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 11.5 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 18.5 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 4

Q: The measures of two complementary angles are [Image] and [Image]. Find the measures of the angles.
- 42, 48 (Complementary angles are two angles whose measures have a sum of 90.)
- 4.25 (Complementary angles are two angles whose measures have a sum of 90.)
- 8.75 (Complementary angles are two angles whose measures have a sum of 90.)
- 96, 84 (Complementary angles are two angles whose measures have a sum of 90.)
A: 42, 48

Q: In the figure, [Image] bisects [Image].
[Image]

If [Image] and [Image], find w.
- 7 (Since [Image] bisects [Image], [Image] and [Image]. Solve for w.)
- 14.43 (Since [Image] bisects [Image], [Image] and [Image]. Solve for w.)
- 52 (Since [Image] bisects [Image], [Image] and [Image]. Solve for w.)
- 3.5 (Since [Image] bisects [Image], [Image] and [Image]. Solve for w.)
A: 7

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] and [Image], what is w?
- 41 ([Image])
- 18 ([Image])
- 10 ([Image])
- 9 ([Image])
A: 18

Q: Measure the angle.

[Image]
- 67 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 113 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 78 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
- 102 (Use a protractor. Align the 0 on either side of the scale with one side of the angle. Place the center point of the protractor on the vertex. Find where the other side of the angle intersects the scale. Read the scale on which you placed your 0.)
A: 102

Q: If [Image] and [Image], find w such that [Image] is a right angle.
- 10.11 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 9 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 11 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 21 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 11

Q: The measures of two complementary angles are [Image] and [Image]. Find the measures of the angles.
- 117, 63 (Complementary angles are two angles whose measures have a sum of 90.)
- 19 (Complementary angles are two angles whose measures have a sum of 90.)
- 63, 27 (Complementary angles are two angles whose measures have a sum of 90.)
- 10 (Complementary angles are two angles whose measures have a sum of 90.)
A: 63, 27

Q: If [Image] and [Image], find h such that [Image].
- 23.4 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 25 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 9 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 43 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 25

Q: Use the figure to find the angles.
[Image]

Name two acute vertical angles.
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Acute angles measure less than 90 degrees.)
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Acute angles measure less than 90 degrees.)
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Acute angles measure less than 90 degrees.)
- [Image] (Vertical angles are two nonadjacent angles formed by two intersecting lines. Acute angles measure less than 90 degrees.)
A: [Image]

Q: [Image]. Point R lies on [Image]. If [Image], find f.
- 11.5 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 7.83 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 3.5 (Lines that form right angles are perpendicular. A right angle measures 90.)
- 19 (Lines that form right angles are perpendicular. A right angle measures 90.)
A: 11.5

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] is a right angle and [Image], what is t?
- 21.25 ([Image])
- 10 ([Image])
- 43.75 ([Image])
- 45 ([Image])
A: 10

Q: Use the figure to find the angles.
[Image]

Name a pair of obtuse adjacent angles.
- [Image] (Adjacent angles are two angles that lie in the same plane, have a common vertex, and a common side, but no common interior points. Obtuse angles measure greater than 90 degrees.)
- [Image] (Adjacent angles are two angles that lie in the same plane, have a common vertex, and a common side, but no common interior points. Obtuse angles measure greater than 90 degrees.)
- [Image] (Adjacent angles are two angles that lie in the same plane, have a common vertex, and a common side, but no common interior points. Obtuse angles measure greater than 90 degrees.)
- [Image] (Adjacent angles are two angles that lie in the same plane, have a common vertex, and a common side, but no common interior points. Obtuse angles measure greater than 90 degrees.)
A: [Image]

Q: In the figure, [Image] and [Image] are opposite rays. [Image] and [Image] bisects [Image].
[Image]

If [Image] and [Image], what is [Image]?
- 5.57 ([Image])
- 41 ([Image])
- 12 ([Image])
- 21.71 ([Image])
A: 41