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

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 $\angle EHF = 75^{\circ}$, and the inscribed angle $\angle EFG$ subtends the same arc $\overset{\frown}{EG}$.

Step3: Calculate the measure of $\angle EFG$

By the inscribed - angle theorem, $m\angle EFG=\frac{1}{2}m\angle EHF$. So $m\angle EFG=\frac{1}{2}\times75^{\circ}= 37.5^{\circ}$.

Answer:

$37.5$