Answer is GMJ = 107
Angle GMJ = 12x - 1
MNK = 13x - 44
Angle GMI is corresponding to angle MNK
So it is congruent or the same so
GMI = 13x - 44
GMI and GMJ are supplementary angles so added together will equal 180 degrees
12x -1 + 13x - 44 = 180
Combine
25x - 45 = 180
Add 45 to both sides to isolate x
25x -45 + 45 = 180 + 45
Combine
25x = 225
Divide both sides by 25 to solve x
25/25 x = 225/25
x = 9
Now to solve for angle GMJ
GMJ = 12x - 1
Substitute 9 for x
GMJ = (12)(9) -1
GMJ = 107