Question

if mBE = 38 degrees and mJI= 120 degrees , find m < C

Answer 1

Given that

$\bar{mBE}=38^o\text{ and m}\bar{JI}=120^o.$

We need to find the measure of the exterior angle C.

Recall the formula for finding the exterior angle is

$m\angle C=\frac{\bar{mJI}-\bar{mBE}}{2}$

$\text{ Substitute }\bar{mBE}=38^o\text{ and m}\bar{JI}=120^o.$

$m\angle C=\frac{120^o-38^o}{2}=41^o$

Hence the required angle is

$m\angle C=41^o$