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