Title: Math 7 Missing Angle Measurements
Course: quiz duplicate error

Q: [Image: Two See Saws]

Two pair of seesaws sit unused at a playground, as shown. ∠EGF has a measure of 140°.

Which angle is vertical to ∠EGF?
- ∠FGE (That is the same angle as ∠EGF.)
- ∠HGF (That angle forms a linear pair with ∠EGF.)
- ∠EGC (That angle forms a linear pair with ∠EGF.)
- ∠CGH (Correct)
A: ∠CGH

Q: ∠EGF has a measure of 140° in the figure.

 What is the measure of ∠CGH?
- 140° (Correct. Vertical angles have the same measure.)
- 40° (That can't be right. ∠CGH is an obtuse angle.)
- 50° (Incorrect. Use what you know about vertical angles.)
- 130° (Incorrect. Use what you know about vertical angles.)
A: 140°

Q: [Image: Two See Saws]

Two pair of seesaws sit unused at a playground, as shown. ∠EGF has a measure of 140°.

Name an angle that forms a linear pair with ∠EGF.
- ∠FGE (That is the same angle as ∠EGF.)
- ∠HGF
- ∠HGC (That angle is vertical angles with ∠EGF.)
- ∠CGH (That angle is vertical angles with ∠EGF.)
A: ∠HGF

Q: ∠EGF has a measure of 140° in the figure above.

 What is the measure of ∠CGE?
- 140° (Incorrect. ∠CGE is an acute angle.)
- 40° (Correct)
- 50° (Incorrect. ∠CGE forms a line with ∠EGF, so their measures should add up to 180°.)
- 130° (Incorrect. Use what you know about linear pairs.)
A: 40°

Q: ∠EGF has a measure of 140° in the figure above.

 What is the measure of ∠HGF?
- 140° (Incorrect. ∠HGF is an acute angle.)
- 40° (Correct)
- 50° (Incorrect. ∠HGF forms a line with ∠EGF, so their measures should add up to 180°.)
- 130° (Incorrect. Use what you know about linear pairs or vertical angles.)
A: 40°

Calculate the missing angle measures and justify your answers.

[Image: Figure 1]
Feedback: Angle | Measure | How do you know? ∠LOM | 150° | Vertical angles with ∠KON ∠NOL | 30° | Linear pair with ∠KON ∠MOK | 30° | Vertical angles with ∠NOL Reasons given here are possible answers. Students may have other good reasons.

Calculate the missing angle measures and justify your answers.

[Image: Figure 2]
Feedback: Angle | Measure | How do you know? ∠DEB | 24° | Vertical angles with ∠AEC ∠DEA | 156° | Linear pair with ∠AEC ∠BEC | 156° | Vertical angles with ∠DEA Reasons given here are possible answers. Students may have other good reasons.

Q: What is the measure of ∠UZA?

[Image: Figure 3]
A: 63
Feedback ("153"): ∠UZA and ∠AZW are complementary, not supplementary.

Q: What is the measure of ∠HJK?

[Image: Figure 4]
A: 119
Feedback: ∠HJK and ∠HJI are a linear pair, so their measures should add up to 180°.

Calculate the missing angle measures and justify your answers.

[Image: Figure 5]
Feedback: Angle | Measure | How do you know? ∠AEF | 52° | Vertical angles with ∠BEG ∠BEC | 93° | 180 - 52 - 35 ∠DEG | 35° | Vertical angles with ∠FEC ∠AED | 93° | Vertical angles with ∠BEC Reasons given here are possible answers. Students may have other good reasons.

Calculate the missing angle measures and justify your answers.

[Image: Figure 6]
Feedback: Angle | Measure | How do you know? ∠CDA | 90° | Linear pair with a right angle ∠EDC | 66° | Complementary to ∠EDF ∠GDB | 66° | Vertical angles with ∠EDC ∠BDF | 90° | Vertical angles with ∠ADC ∠ADG | 24° | Vertical angles with ∠EDF Reasons given here are possible answers. Students may have other good reasons.

Name a pair of complementary angles in this figure:

[Image: Identify Pairs]

Name a pair of supplementary angles in this figure:

[Image: Identify Pairs]

Name one pair of vertical angles, complementary angles and supplementary angles in this figure:

[Image: Identify Pairs]