Question

1 In triangle MNP the measure of angle NPM is 80° and the measure of angle MNP is 22.5°.

What is the measure of angle PMN in degrees?

Answer 1

77.5°

Explanation:

Recall that the sum of angles in a triangle is 180 degrees.

Given the triangle MNP with the measure of angle NPM is 80° and the measure of angle MNP is 22.5°

Then

angles NPM + MNP + PMN = 180 degrees

This means that

80 + 22.5 + PMN = 180

102.5 + PMN = 180

Collect like terms

PMN = 180 - 102.5

= 77.5°.