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

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 and inscribed angles

The central angle $\angle FIH = 139^{\circ}$, and the inscribed angle is $\angle FGH$.

Step3: Calculate the measure of the inscribed angle

$m\angle FGH=\frac{1}{2}m\angle FIH$. $m\angle FGH=\frac{1}{2}\times139^{\circ}=69.5^{\circ}$

Answer:

$69.5$