Question

What is the measure of angle 1?

What is the measure of angle 2?


What is the measure of angle 3?

Answer 1

see explanation

Explanation:

∠1 and 170° form a straight angle and are supplementary, thus

∠1 = 180° - 170° = 10°

∠1 and ∠3 are vertical angles and congruent , thus

∠3 = 10°

∠2, 15° and ∠3 form a straight angle and sum to 180°, thus

∠2 = 180° - 15° - 10° = 155°

Thus

∠1 = 10°, ∠2 = 155°, ∠3 = 10°