If line KM bisects angle JKL, angle JKL = 92 degrees, and angle MKL = (5x+1) degrees, find the value of x.

Answer:
9 =x
Step-by-step explanation:
A bisected angle means that the two sides are now equal
JKM = LKM
and each of these angles are 1/2 of the original angle JKL
1/2 JKL = MKL
1/2 ( 92) = 5x+1
46 = 5x+1
Subtract 1 from each side
46-1 = 5x+1-1
45 = 5x
Divide each side by 5
45/5 = 5x/5
9 =x