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

Given The Angles In The Diagram What Is The Measure Of C class=

Sagot :

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

Answer:

34°

Step-by-step 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°