Find the measure of the arc or angle indicated. Provide a perfect solution.

Given: Arc PL = 62
Need: Angle NMP

Choices:

A) 86
B) 40
C) 59
D) 79

B) 40

Solution: Since arc PL = 62, the central angle NMP must be equal to 180 - 62 = 118. Since the triangle NMP is isosceles, the measure of angle NMP must be half of 118, or 40.