Question

if $overline{fg} cong overline{fi}$ and $mangle fhi = 46^circ$, what is $mangle fhg$?
$mangle fhg = square^circ$
submit

Explanation:

Step1: Identify FH as angle bisector

Since $\overline{FG} \cong \overline{FI}$, and $FG \perp GH$, $FI \perp HI$, FH is the angle bisector of $\angle GHI$.

Step2: Relate angles using bisector property

$\angle FHG = \angle FHI$ because FH bisects $\angle GHI$.

Step3: Substitute given angle value

Given $m\angle FHI = 46^\circ$, so $m\angle FHG = 46^\circ$.

Answer:

$46$