Question

In the figure below, measure of angle 4 = 87. Find measure of angle 1. measure of angle 2, and measure of angle 3.

Answer 1

Since angles 2 and 4 are vertical angles, angle 2 measures 87°.

Since angles 1 and 2 are supplementary angles, angle 1 measures 93°, and it follows that angle 3 measures 93° because angles 1 and 3 are vertical angles.