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which of the following is the correct classification of △mnp if angle m…

Question

which of the following is the correct classification of △mnp if angle m = 35 and angle p = 47
obtuse
equiangular
acute
right

Explanation:

Step1: Find angle N

The sum of angles in a triangle is 180°. So, $\angle N=180 - (\angle M+\angle P)$. Substituting $\angle M = 35$ and $\angle P=47$, we get $\angle N=180-(35 + 47)=180 - 82 = 98$.

Step2: Classify the triangle

Since $\angle N=98>90$, the triangle is obtuse - angled.

Answer:

Obtuse