Question

calculating measures of isosceles trapezoids
use the diagram to find the missing measures.
the measure of angle ghe is
the length of ge is

Explanation:

Step1: Use the property of isosceles trapezoid (base angles are equal)

In an isosceles trapezoid \(EFGH\), \(\angle FEH=\angle GHE\). Given \(\angle FEH = 62^{\circ}\), so \(\angle GHE=62^{\circ}\)

Step2: Use the property of isosceles trapezoid (diagonals are equal)

In an isosceles trapezoid \(EFGH\), the diagonals \(FH\) and \(GE\) are equal. Given \(FH = 15\), so \(GE=15\)

Answer:

The measure of angle \(GHE\) is \(62^{\circ}\). The length of \(\overline{GE}\) is \(15\)