Given that
[tex]\bar{mBE}=38^o\text{ and m}\bar{JI}=120^o.[/tex]
We need to find the measure of the exterior angle C.
Recall the formula for finding the exterior angle is
[tex]m\angle C=\frac{\bar{mJI}-\bar{mBE}}{2}[/tex]
[tex]\text{ Substitute }\bar{mBE}=38^o\text{ and m}\bar{JI}=120^o.[/tex]
[tex]m\angle C=\frac{120^o-38^o}{2}=41^o[/tex]
Hence the required angle is
[tex]m\angle C=41^o[/tex]
