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

Explanation:

Step1: Recall inscribed - central angle relationship

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 $\angle GFH = 75^{\circ}$, and the inscribed angle $\angle GIH$ subtends the same arc $\overset{\frown}{GH}$.

Step3: Calculate the measure of the inscribed angle

Using the formula $m\angle GIH=\frac{1}{2}m\angle GFH$. $m\angle GIH=\frac{1}{2}\times75^{\circ}=37.5^{\circ}$

Answer:

$37.5$