Question

fh bisects ∠efg. find the indicated angle measures. m∠efg = 124 °. find m∠efh and m∠gfh. m∠efh = ° m∠gfh = °

Explanation:

Step1: Recall angle - bisector definition

An angle - bisector divides an angle into two equal parts. So, if $\overrightarrow{FH}$ bisects $\angle EFG$, then $m\angle EFH=m\angle GFH=\frac{1}{2}m\angle EFG$.

Step2: Calculate the angle measures

Given $m\angle EFG = 124^{\circ}$, then $m\angle EFH=\frac{1}{2}\times124^{\circ}=62^{\circ}$ and $m\angle GFH=\frac{1}{2}\times124^{\circ}=62^{\circ}$.

Answer:

$m\angle EFH = 62^{\circ}$
$m\angle GFH = 62^{\circ}$