Question

Given the angles in the diagram, what is the measure of ∠C ?

Answer 1

34°

Explanation:

Since the total angle of a trapezoid is 360°

90 + 90 + 146 + x = 360 *Add 90, 90, and 146*

326 + x = 360 *Subtract 326*

x = 34°

Answer 2

Since quadrilaterals have interior angles that add up to 360, then subtract the known values from 360

360 - 90 - 90 - 146 = 64

Angle C = 64