We know Angle HMK is half the sum of Arc JI and Arc HLK. So, we can set up an equation.
8x - 1 = 1/2 (3x + 2 + 15x - 36)
8x - 1 = 1/2 (18x - 34)
16x - 2 = 18x - 34
32 = 2x
16 = x
Then, we can substitute x into Arc HLK
HLK = 15x - 36
HLK = 240 - 36
Arc HLK = 204°
