Question

what is ( mangle fhg )?
write your answer as an integer or decimal.
( mangle fhg = square^circ )

Explanation:

Step1: Identify central arc measure

The central angle $\angle FIG = 93^\circ$, so the measure of arc $FG$ is $93^\circ$.

Step2: Use inscribed angle theorem

An inscribed angle is half its intercepted arc.
$m\angle FHG = \frac{1}{2} \times m\overset{\frown}{FG}$
$m\angle FHG = \frac{1}{2} \times 93^\circ$

Step3: Calculate the angle value

$m\angle FHG = 46.5^\circ$

Answer:

$46.5$