Question

in the figure below, m∠jkm = 104°, kl bisects ∠jkm, and kn bisects ∠lkm. find m∠nkm. m∠nkm = °

Explanation:

Step1: Recall angle - bisector property

Since $\overline{KL}$ bisects $\angle{JKM}$ and $m\angle{JKM}=104^{\circ}$, then $m\angle{LKM}=\frac{1}{2}m\angle{JKM}$.
$m\angle{LKM}=\frac{1}{2}\times104^{\circ} = 52^{\circ}$

Step2: Use the angle - bisector property again

Since $\overline{KN}$ bisects $\angle{LKM}$, then $m\angle{NKM}=\frac{1}{2}m\angle{LKM}$.
$m\angle{NKM}=\frac{1}{2}\times52^{\circ}=26^{\circ}$

Answer:

$26$