Ok I think I have a visual, but if this isn't want the question wants, don't blame me because you couldn't put a diagram up.
106 = (2x-1) + (x+17)+ (4x-15)
106 = 7x + 1
105 = 7x
/7 /7
15 = x
mFLG = 2x - 1
2(15) - 1
30 - 1
29
mGLH = x+17
15 + 17
32
mHLI = 4x - 15
4(15) - 15
60 - 15
45
29 < 32
29 < 45
Therefore, the smallest angle is 29.
Proof = 29 + 32 + 45 = 106.
