Answer:
1) Vertical angles
2) 90°, complementary
3) 180°, supplementary
Step-by-step explanation:
1) Intersecting lines form vertical angles.
According to the word problem, ∠APC and ∠DQB are formed by intersecting lines, meaning they are vertical angles.
2) ∠AQV is 30°, and ∠VQT is 60°.
30° + 60° = 90°. The sum of these angles is 90°.
And, complementary angles are two angles with measures that sum up to 90°.
3) ∠AQC is 150°, because 30° + 60° + 60° = 150°.
∠CQB is 30°.
And, 150° + 30° = 180°.
Supplementary angles are two angles with measures that sum up to 180°.
