Question

In trapezoid WXYZ, m∠ZYX = 107 degrees. Identify m∠ZWX.

a) 107 degrees
b) 73 degrees
c) 90 degrees
d) 37 degrees

Answer 1

In trapezoid WXYZ, the measure of angle ZWX is 39 degrees.

Step-by-step explanation:

In trapezoid WXYZ, the opposite angles are congruent. Therefore, ∠ZXY = ∠WYZ = 107 degrees.

The sum of the measures of the angles in a trapezoid is 360 degrees. So, the sum of ∠ZYX and ∠WXY is 360 - 107 - 107 = 146 degrees.

Since the opposite angles in a trapezoid are congruent, we have: ∠ZYX + ∠WXY = 146 degrees. Solving for ∠WXY, we get ∠WXY = 146 - 107 = 39 degrees.

Therefore, m∠ZWX is 39 degrees, so the answer is d) 37 degrees.