Answer:
[tex]m\angle JKM = 162^\circ[/tex]
Step-by-step explanation:
Angle Bisector
An angle bisector is a ray that divides an angle into two congruent angles, each having a measure exactly half of the original angle.
We are given ray KR bisects angle JKM.
This means angle JKM is divided into two congruent angles JKR and RKM. We know:
[tex]m\angle JKR = 81^\circ[/tex]
Thus, the measure of angle JKM is twice the measure of JKR. Therefore:
[tex]m\angle JKM = 2*81^\circ= 162^\circ[/tex]
[tex]\mathbf{m\angle JKM = 162^\circ}[/tex]
