Question

in △nop, m∠n = 115° and m∠o = 20°. which list has the sides of △nop in order from longest to shortest? answer ○ pn, op, no ○ no, pn, op ○ op, pn, no ○ op, no, pn ○ no, op, pn ○ pn, no, op

Explanation:

Step1: Find angle P

In a triangle, the sum of interior angles is 180°. So, $m\angle P=180^{\circ}-m\angle N - m\angle O=180^{\circ}-115^{\circ}-20^{\circ}=45^{\circ}$.

Step2: Recall angle - side relationship

In a triangle, the longest side is opposite the largest angle and the shortest side is opposite the smallest angle. Since $m\angle N>m\angle P > m\angle O$, the side opposite $\angle N$ (which is $OP$) is the longest, the side opposite $\angle P$ (which is $NO$) is the middle - length side, and the side opposite $\angle O$ (which is $PN$) is the shortest.

Answer:

OP, NO, PN