bisector divides the angle into 2 equal parts
since it a bisector
JLC=1/2 of JLY
solve for x then add them and solve for JLY
JLC=1/2 times JLY
JLC=6x+1
JLY=10x+16
subsitute
6x+1=1/2(10x+16)
distribute
1/2(10x+16)=5x+8
6x+1=5x+8
subtrac 5x from both sides
x+1=8
subtract 1
x=7
JLC=6x+1
subsitute
x=7
JLC=6(7)+1
JLC=42+1
JLC=43
answer is JLC is 43 degrees
diagram included to show what bisector is
