Question

question in △nop, m∠n = 97° and m∠o = 42°. which list has the sides of △nop in order from longest to shortest? answer pn, no, op no, pn, op no, op, pn pn, op, no op, no, pn op, pn, no

Explanation:

Step1: Find the third - angle measure

The sum of angles in a triangle is 180°. Let $\angle P$ be the third angle. So, $m\angle P=180^{\circ}-(m\angle N + m\angle O)=180^{\circ}-(97^{\circ}+ 42^{\circ}) = 41^{\circ}$.

Step2: Recall the angle - side relationship

In a triangle, the side opposite the largest angle is the longest side and the side opposite the smallest angle is the shortest side. $\angle N = 97^{\circ}$ is the largest angle, and the side opposite it is $OP$. $\angle P=41^{\circ}$ is the smallest angle, and the side opposite it is $NO$. $\angle O = 42^{\circ}$, and the side opposite it is $PN$.

Answer:

OP, PN, NO