Refer the trapezoid shown below. Find x .

Question

Quizplus · Accepted Answer

We can first solve for angle A since it's a straight line and angle C and D are supplementary. 
Angle A = 180 - 92 - 24 = 64 degrees. 
Angle D = 180 - 32 = 148 degrees. 
Then, we can use the fact that opposite angles in a trapezoid are supplementary to find angle B: 
Angle B = 180 - 64 - (180 - x) = x - 64 degrees. 
Finally, we know that the angles in a triangle add up to 180 degrees, so: 
64 + x - 64 + 90 = 180 
x = 138 degrees.

Refer the Trapezoid Shown Below