Solving the for angle NMP. *

50°

Step-by-step explanation:

Angle NMP is an angle that has its vertex on a point along the circumference of the circle, thus, angle NMP is referred to as an inscribed angle of the circle.

The measure of an inscribed angle is equal to half of the measure of the arc it intercepts.

Therefore, the following equation shows the relationship between inscribed angle NMP and arc NP:

m<NMP = ½ × measure of arc NP

m<NMP = ½*100

m<NMP = 50°