Question

In ΔMNO, m∠M = 28° and m∠N = 109°. Which list has the sides of ΔMNO in order from shortest to longest?
Answer
Multiple Choice Answers
OM, comma, MN, comma, NOOM,MN,NO
NO, comma, OM, comma, MNNO,OM,MN
MN, comma, OM, comma, NOMN,OM,NO
OM, comma, NO, comma, MNOM,NO,MN
NO, comma, MN, comma, OMNO,MN,OM
MN, comma, NO, comma, OMMN,NO,OM

Answer 1

Angles: M = 28°, N = 109°, so O = 180 − 28 − 109 = 43°. Sides opposite those angles: NO opposite M (28°), MN opposite O (43°), OM opposite N (109°). Larger angle → longer opposite side. Thus shortest → longest: NO, MN, OM. (This matches the fifth choice.)