Question

fh bisects ∠efg. find the indicated angle measures. m∠efh = 63 °. find m∠gfh and m∠efg. m∠gfh = ° m∠efg = °

Explanation:

Step1: Recall angle - bisector property

A bisector divides an angle into two equal parts. Since $\overrightarrow{FH}$ bisects $\angle EFG$, then $m\angle EFH=m\angle GFH$.

Step2: Find $m\angle GFH$

Given $m\angle EFH = 63^{\circ}$, so $m\angle GFH=63^{\circ}$ (because of angle - bisector property).

Step3: Find $m\angle EFG$

Since $\angle EFG=\angle EFH+\angle GFH$ and $\angle EFH = \angle GFH = 63^{\circ}$, then $m\angle EFG=63^{\circ}+63^{\circ}=126^{\circ}$.

Answer:

$m\angle GFH = 63^{\circ}$
$m\angle EFG = 126^{\circ}$