what is m∠ihj? write your answer as an integer or decimal. m∠ihj = °
what is m∠ihj? write your answer as an integer or decimal. m∠ihj = °
Answer
Explanation:
Step1: Recall inscribed - angle theorem
The measure of an inscribed angle is half the measure of the central angle that subtends the same arc.
Step2: Identify central and inscribed angles
The central angle $\angle JKH = 81^{\circ}$, and the inscribed angle $\angle IHJ$ subtends the same arc $\overset{\frown}{IJ}$.
Step3: Calculate the measure of $\angle IHJ$
By the inscribed - angle theorem, $m\angle IHJ=\frac{1}{2}m\angle JKH$. Since $m\angle JKH = 81^{\circ}$, then $m\angle IHJ=\frac{81^{\circ}}{2}=40.5^{\circ}$.
Answer:
$40.5$