Question

geometry unit 4 retake
name markeviaw

1. which of the following is the correct classification of △mnp if m∠m = 89° and m∠p = 31°?

a equiangular b right c acute d obtuse
3 find the measure of each missing angle
4 points
3 points

Explanation:

First, find the measure of $\angle N$ using the angle - sum property of a triangle ($\angle M+\angle N+\angle P = 180^{\circ}$). So, $\angle N=180^{\circ}-\angle M - \angle P=180^{\circ}-89^{\circ}-31^{\circ}=60^{\circ}$. Since all angles ($89^{\circ},60^{\circ},31^{\circ}$) are less than $90^{\circ}$, the triangle is acute.

Answer:

C. Acute