what is m∠gih? write your answer as an integer or decimal. m∠gih = °

Explanation:

Step1: Recall the 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 and inscribed angles

The central angle $\angle GFH = 71^{\circ}$, and the inscribed angle $\angle GIH$ subtends the same arc $\overset{\frown}{GH}$.

Step3: Calculate the measure of $\angle GIH$

By the inscribed - angle theorem, $m\angle GIH=\frac{1}{2}m\angle GFH$. So, $m\angle GIH=\frac{71}{2}=35.5^{\circ}$.

Answer:

$35.5$