Question

Look at the parallelogram below. —1 and —3 are each 35°. What is the measurement of —2?

A. 115°.
B. 70°.
C. 145°.
D. 290°.

Answer 1

The answer is c because 180-35=145

Answer 2

∠2 and ∠3 are same-side interior angles because both pairs of opposite sides of a parallelogram are parallel. Same-side interior angles are angles that add up to 180 degrees (supplementary angles). Make ∠2 and ∠3 add up to 180 in an equation.

m∠2 + 35 = 180

Subtract 35 from both sides.

m∠2 = 145

`\boxed {C)~145\°}`