Question

in circle g with ( mangle fgh = 132^{circ} ), find the measure of minor arc ( overset{\frown}{fh} ).

Explanation:

Step1: Use the central - angle - arc relationship

The measure of a minor arc is equal to the measure of its central angle.
In circle \(G\), \(\angle FGH\) is the central angle for arc \(\overset{\frown}{FH}\).
Since \(m\angle FGH = 132^{\circ}\), by the central - angle - arc theorem (\(m\overset{\frown}{FH}=m\angle FGH\) when \(\angle FGH\) is the central angle subtended by arc \(\overset{\frown}{FH}\)), we have \(m\overset{\frown}{FH}=132^{\circ}\).

Answer:

132°