Measure of angle KYM = (1/2) [ 5x + 6 + 11x -34] = (1/2) [ 16x - 28 ] = 8x - 14
And JYM and KYM = 180 ......so....
( 8x + 2) + (8x - 14) = 180
16x - 12 = 180
16x = 180 + 12
16x = 192
x = 192 / 16 = 12
So.....since they are vertical angles .... angle JYM = angle LYK = 8 (12) + 2 = 98°