Question

what is $m\angle fgh$?
write your answer as an integer or decimal.
$m\angle fgh = \square^\circ$
submit

Explanation:

Step1: Find $\angle HIF$

The sum of angles around a point is $360^\circ$.
$\angle HIF = 360^\circ - 132^\circ - 145^\circ = 83^\circ$

Step2: Find arc $HF$

Central angle equals its arc measure.
$m\overset{\frown}{HF} = \angle HIF = 83^\circ$

Step3: Calculate $\angle FGH$

Inscribed angle is half its intercepted arc.
$m\angle FGH = \frac{1}{2} \times m\overset{\frown}{HF} = \frac{1}{2} \times 83^\circ = 41.5^\circ$

Answer:

$41.5$