Question

Find the measure of each angle that is labeled on the diagram shown below

Tell what definition, postulate or theorem allows you to justify your answer

Answer 1

see below

Explanation:

based on Vertical Angles Theorem

look at the vertical line, 128 + ∠3 = 180

so ∠3=52

∠2 = 128

Look at the triangle:

∠4 = 90 - ∠3 = 90- 52 = 38 = ∠6

∠5=180-∠4 =180-38 =142 = ∠7

∠1 = 180-90 = 90