Question

JK bisects angle LJM, the measure of angle LJM=2x+15, and the measure of angle KJM=6x-5. Solve for x.

Answer 1

JK bisects angle LJM, the measure of angle LJM=2x+15, and the measure of angle KJM=6x-5. Solve for x.​

In this problem we have that

because JK bisects angle LJM

substitute the given values

(2x+15)=2(6x-5)

solve for x

2x+15=12x-10

12x-2x=15+10

10x=25

x=25/10

x=2.5