Find angle GLK.
From the diagram HLI = ILJ they are both equal to x+71
and GLK = JLH
JLH = HLI + ILJ
x+139 = x+71 + x+71
x+139 = 2x + 142
x = 139-142 = -3
then GLK = x + 139 = -3 + 139 = 136 degrees
Assuming that GJ and KH are diameters --
angle(GLK) = angle(HLI) + angle(ILJ)
x + 139 = (x + 71) + (x + 71) [ Given: angle(HLI) = angle(ILJ) ]
x + 139 = 2x + 142
x = -3
Therefore, x + 139 = -3 + 139 = 136