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=(120^o-38^o)/(2)=41^o`

Hence the required angle is

`m\angle C=41^o`