Question

in △fgh, $overline{hf}congoverline{gh}$ and m∠g = 58°. find m∠f.

Explanation:

Step1: Identify isosceles - triangle property

Since $\overline{HF}\cong\overline{GH}$, $\triangle FGH$ is an isosceles triangle. In an isosceles triangle, the base - angles are equal. So, $\angle F\cong\angle G$.

Step2: Determine the measure of $\angle F$

Given that $m\angle G = 58^{\circ}$, and $\angle F\cong\angle G$, then $m\angle F=58^{\circ}$.

Answer:

$58^{\circ}$