Question

q# 5. if ( moverarc{mn}=87^{circ} ), what is the measure of ( angle mon )?

Explanation:

Step1: Recall the central angle theorem

The measure of a central angle is equal to the measure of its intercepted arc.

Step2: Identify the central angle and its intercepted arc

Here, $\angle MON$ is the central angle and $\overset{\frown}{MN}$ is its intercepted arc. Given $m\overset{\frown}{MN} = 87^{\circ}$.

Answer:

$87^{\circ}$