Question

In the diagram, mFLI is 106°, mFLG = (2x – 1)°, mGLH = (x + 17)°, and mHLI = (4x – 15)°. What is the measure of the smallest angle in the diagram? 15° 29° 32° 45°

Answer 1

29 degrees

Explanation:

Answer 2

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.