Question

answer attempt 1 out of 2
m∠hij = m∠jik
m∠hij = 2(m∠jik)
m∠hij = m∠hik
m∠hik = 2(m∠jik)
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Explanation:

Step1: Recall angle - bisector definition

An angle - bisector divides an angle into two equal - measure angles. If $\overrightarrow{IJ}$ is the angle - bisector of $\angle HIK$, then $\angle HIK=\angle HIJ+\angle JIK$ and $\angle HIJ = \angle JIK$. So, $m\angle HIK=2(m\angle JIK)$.

Answer:

$m\angle HIK = 2(m\angle JIK)$