If ∠1 and ∠2 are vertical angles, ∠2 and ∠3 are complementary angles, and m∠3=56 degrees, find m∠1.

Answer 1

Answer 2

m∠2 = 90° - 56° = 34°.

So, m∠1 = m∠2 = 34°

Answer 3

Angle 1 & angle 2 are the same (vertical angle theorem), if angle 2 and 3 are complementary, then they add to 90 degrees. So....... if angle 3 is 56 degrees, then angle 2 is 34 degrees and so is angle 1. I hope that makes sense to you!