Question

in the figure below, m∠jkm = 94°, m∠lkm = 62°, and (overline{kn}) bisects ∠lkm. find m∠jkn.

Explanation:

Step1: Find measure of ∠LKN

Since $\overline{KN}$ bisects $\angle LKM$ and $m\angle LKM = 62^{\circ}$, then $m\angle LKN=\frac{1}{2}m\angle LKM$. So $m\angle LKN=\frac{1}{2}\times62^{\circ}= 31^{\circ}$.

Step2: Find measure of ∠JKN

We know that $\angle JKN=\angle JKM - \angle LKN$. Given $m\angle JKM = 94^{\circ}$ and $m\angle LKN = 31^{\circ}$, then $m\angle JKN=94^{\circ}- 31^{\circ}=63^{\circ}$.

Answer:

$63$