Question

in an isosceles trapezoid, one of the base angles measures 62°. what is the measure of one of the angles on the other base?
a. 38°
b. 118°
c. 62°
d. 28°

Explanation:

Step1: Recall trapezoid angle property

In an isosceles trapezoid, consecutive angles between the bases are supplementary (sum to \(180^\circ\)).

Step2: Calculate the other base angle

Given one base angle is \(62^\circ\), let the other base angle be \(x\). Then \(x + 62^\circ= 180^\circ\), so \(x = 180^\circ - 62^\circ = 118^\circ\).

Answer:

B. \(118^\circ\)