Having a bisector means both sides of it would be the same.
So angle JLC would be one half of JLY
6x +1 = 1/2(10x +16)
Simplify the right side:
6x +1 = 5x +8
Subtract 5x from each side:
x + 1 = 8
Subtract 1 from each side"
x = 7
Now replace x with 7 for JLC:
6x + 1 = 6(7) + 1 = 42 +1 = 43 degrees.
