what is m∠fhg? write your answer as an integer or decimal. m∠fhg = °
what is m∠fhg? write your answer as an integer or decimal. m∠fhg = °
Answer
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 $\angle FEG = 81^{\circ}$, and the inscribed angle $\angle FHG$ subtends the same arc $\overset{\frown}{FG}$.
Step3: Calculate the measure of $\angle FHG$
By the inscribed - angle theorem, $m\angle FHG=\frac{1}{2}m\angle FEG$. Since $m\angle FEG = 81^{\circ}$, then $m\angle FHG=\frac{81}{2}=40.5^{\circ}$.
Answer:
$40.5$