Question

EM bisects ZDEF and mZDEF = 83.6°. Find mZDEM and mZMEF. mZDEM mZMEF

Answer 1

Answer:

$\begin{gathered} m\angle DEM=41.8^{\circ} \\ m\angle MEF=41.8^{\circ} \end{gathered}$

Explanation:

See the below image;

From the above image, we can see that line EM is the bisector of angle DEF and we know that an angle bisector always splits an angle into two equal angles.

Given m$\begin{gathered} m\angle DEM=\frac{83.6}{2}=41.8^{\circ} \\ m\angle MEF=\frac{83.6}{2}=41.8^{\circ} \end{gathered}$