Question

use the diagram to find the missing measures. the measure of angle ghe is the length of ge is 15 30 62 118

Explanation:

Step1: Identify congruent triangles

Since the markings on the sides and angles suggest that $\triangle EFH\cong\triangle GFH$ (by Side - Angle - Side or other congruence criteria).

Step2: Find angle GHE

$\angle GHE$ and $\angle FEH$ are corresponding angles of congruent triangles. So $\angle GHE=\angle FEH = 62^{\circ}$.

Step3: Find length of GE

By the congruence of the triangles, the corresponding sides are equal. Since $EH = 30$ and the triangles are congruent, $GE = 30$.

Answer:

The measure of angle GHE is $62^{\circ}$.
The length of $\overline{GE}$ is $30$.