Question

NM is tangent to the circle at M. Find the measure of MNO

Answer 1

Check the picture below.

`2x+3=\cfrac{(176-2x)-47}{2}\implies 4x+6=(176-2x)-47 \\\\\\ 4x+6=129-2x\implies 6x+6=129\implies 6x=123 \\\\\\ x=\cfrac{123}{6}\implies x=\cfrac{41}{2}\implies x=20(1)/(2) \\\\[-0.35em] ~\dotfill\\\\ 2\left( (41)/(2) \right)+3\implies 41+3\implies 44^o\impliedby \measuredangle MNO`