Question

in the figure below, (mangle jkm = 81^{circ}), (mangle nkm = 28^{circ}), and (overline{kn}) bisects

Explanation:

Step1: Find angle $∠JKN$

$m\angle JKN=m\angle JKM - m\angle NKM=81^{\circ}- 28^{\circ}=53^{\circ}$

Step2: Since $\overline{KN}$ bisects $\angle LKM$

$m\angle LKN = m\angle NKM = 28^{\circ}$

Step3: Calculate $m\angle JKL$

$m\angle JKL=m\angle JKN - m\angle LKN=53^{\circ}-28^{\circ}=25^{\circ}$

Answer:

$25$