Question

in circle p with ( mangle npq = 36^{circ} ), find the measure of minor arc ( overarc{nq} ).

Explanation:

Step1: Recall the central angle - arc relationship

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

Step2: Identify the central angle

Here, the central angle for arc $\overset{\frown}{NQ}$ is $\angle NPQ$ and $m\angle NPQ = 36^{\circ}$.

Answer:

$36^{\circ}$