Question

in circle j with $m\angle hjk = 50^\circ$, find the measure of minor arc $\overset{\frown}{hk}$.

Explanation:

Step1: Recall central arc theorem

The measure of a central angle is equal to the measure of its intercepted minor arc.

Step2: Match angle to arc

$\text{m}\angle HJK$ is a central angle intercepting $\overset{\frown}{HK}$, so $\text{m}\overset{\frown}{HK} = \text{m}\angle HJK$
$\text{m}\overset{\frown}{HK} = 50^\circ$

Answer:

$50^\circ$