Question

Given that the measure of ∠x is 30°, and the measure of ∠y is 60°, find the measure of ∠z.

Answer 1

90°

Explanation:

Since vertical angles are equal, ∠x is equal to its vertical angle. Since the total angles in a triangle are 180, and x + y = 90, then the angle supplementary to z = 180 - 90 = 90. To find z, it's just 180 - 90 = 90.