Help me with Geometry

Question

JL bisects IJK. if LJK=(39+5x) and IJK=(6-8x).Find x and IJL

Answer 1

The problem is easier to see if you draw out the angle IJK and then construct a bisector to the angle at J.

From the picture, you should see that LKJ is one half of the original angle and IJL is the other half.

Since you know from the concept of a bisector that one angle is double the other in the proper order, you have.

IJK = 2 LJK or

6 - 8x = 2(39+5x) and solve for x to determine the value of both angles.