what is m∠gih? write your answer as an integer or decimal. m∠gih =
what is m∠gih? write your answer as an integer or decimal. m∠gih =
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 the central angle
The central angle $\angle GFH$ that subtends the same arc as $\angle GIH$ is $136^{\circ}$.
Step3: Calculate the measure of $\angle GIH$
By the inscribed - angle theorem, $m\angle GIH=\frac{1}{2}m\angle GFH$. $m\angle GIH=\frac{1}{2}\times136^{\circ}$ $m\angle GIH = 68^{\circ}$
Answer:
$68$