Question

In the figure below, line l and line m are parallel, the measure of ∠1 = 56°, and the measure of ∠2 = 66°. What is the measure of ∠3?

Answer 1

∠3 = 34°

Explanation:

There are (at least) two ways you can get there:

• ∠3 is complementary to ∠6, which is a vertical angle with ∠1. So, ∠3 = 90°-56° = 34°
• ∠3 is complementary to ∠4, which is a corresponding angle with ∠1. So, ∠3 = 90°-56° = 34°.