Title: Math 7 Angle Equations
Course: quiz duplicate error

Q: Write an equation to find x in the following figure:

[Image: 60 -120 equation]
- x + 2x = 90 (Incorrect. The two angles are a linear pair.)
- x = 2x (Incorrect. The two angles are not equal.)
- x + 2x = 180 (Correct)
A: x + 2x = 180

Q: Solve for x:

[Image: 60-120 Angle]

Enter x= before your answer.
A: x = 60 / x=60 / x =60 / x= 60
Partly right: 60 (75%)
Feedback ("60"): You need to write x =

Q: What are the measures of the two angles in the figure?

[Image: 60 -120 equation]
- 90° and 90° (Incorrect. The two angles are not equal.)
- 60° and 120° (Nice work.)
- 30° and 60° (Incorrect. Those only add up to 90°)
- 80° and 160° (Incorrect. That would be a total of 240°)
A: 60° and 120°

Q: ∠DCB is a right angle. Write an equation to find y:

[Image: complementary equation]
- y + 15 + y + 25 = 180 (Incorrect. The two angles are not supplementary.)
- y + 15 + y + 25 = 90 (Great job!)
- y + 15 = y + 25 (Incorrect. The two angles are not equal.)
- 90 - y + 15 = y + 25 (Incorrect. You would need to put the y + 15 in parentheses for that equation to work.)
A: y + 15 + y + 25 = 90

Q: ∠DCB is a right angle. Solve for y:

[Image: complementary]

Enter y= before your answer.
A: y = 25 / y=25 / y =25 / y= 25
Partly right: 25 (75%)
Feedback ("25"): You need to write y =

Q: ∠DCB is a right angle. What is m∠DCE?

[Image: complementary equation]
- 60° (Incorrect. Try again.)
- 40° (That's it!)
- 50° (Incorrect. It is the smaller of the two angles.)
- 15° (Incorrect. Check your solution for x.)
A: 40°

Q: Write an equation to find v in the following figure:

[Image: full circle angle]
- 124 + 86 = 2v + v (Incorrect. Those two angles are not vertical angles.)
- 2v + v + 124 + 86 = 180 (Incorrect. The total is more than 180°.)
- 2v + v + 124 + 86 = 360 (Correct!)
- 2v = 86 (Incorrect. Those two angles are not vertical angles.)
A: 2v + v + 124 + 86 = 360

Q: Solve for v:

[Image: full circle angle]
A: v = 50 / v=50 / v =50 / v= 50
Partly right: 50 (75%)
Feedback ("50"): Don't forget the v =

Q: What is m∠MLP?

[Image: full circle angle]
- 86° (Incorrect. Those two angles are not vertical angles.)
- 50° (Incorrect. ∠MLP is not the angle that equals v.)
- 100° (Correct!)
- 124° (Incorrect. Those two angles are not vertical angles.)
A: 100°

Q: Write an equation to solve for w in the following figure:

[Image: verticaleq]
- 3w + 5 = 145 (Incorrect. You need the 20° as well.)
- 3w + 5 + 20 = 145 (Good eye!)
- 3w + 5 = 20 (Incorrect. Those two angles are not equal.)
- 3w + 5 + 20 = 180 (Incorrect. Those two angles do not form a line.)
A: 3w + 5 + 20 = 145

Q: Solve for w:

[Image: vertical problem]

Enter w= before your answer.
A: w = 40 / w=40 / w= 40 / w =40
Partly right: 40 (75%)
Feedback ("40"): Don't forget the w =

Q: What is m∠KJH?

[Image: verticaleq]
- 145° (Incorrect. Those two angles are not vertical angles.)
- 125° (Excellent!)
- 120° (Incorrect. Check your value for w.)
- 160° (Incorrect. Those two angles do not form a line.)
A: 125°

Q: Write an equation to find z in the following diagram:

[Image: verticaleq1]
- 5z + 6 = 131
- 5z + 6 + 131 = 180 (Incorrect. Those two angles do not equal 180°.)
- 5z + 6 = 180 (Incorrect. The angle is obtuse, not straight.)
A: 5z + 6 = 131

Q: Solve for z:

[Image: vertical]

Enter z= before your answer.
A: z = 25 / z= 25 / z=25 / z =25
Partly right: 25 (75%)
Feedback ("25"): Don't forget the z =

Q: What is m∠QUS?

[Image: verticaleq1]
- 131°
- 34° (Incorrect. It is an obtuse angle.)
- 174° (Incorrect.)
A: 131°

Q: Write an equation to find the angle of departure, x, of the pool ball:

[Image: pool table angles]

CC-BY-SA SMcCandlish via Wikimedia Commons
- x + x - 90 = 180 (Incorrect. You need to add the 90°)
- 90 - x - x = 180 (Incorrect. You need to add the x's.)
- 90 + x + x = 180 (Correct.)
- x + x = 180 (Incorrect. What about the 90°?)
A: 90 + x + x = 180

Q: What is the angle of departure, x, of the pool ball?

[Image: pool table angles]

CC-BY-SA SMcCandlish via Wikimedia Commons
- 45° (Correct. The angle of departure and the angle of approach are equal.)
- 90° (Incorrect. Solve for x.)
- 60° (Incorrect. Solve for x.)
- 22.5° (Incorrect. The two x's should add up to 90°.)
A: 45°