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9 November, 11:17

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°

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  1. 9 November, 11:34
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    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.
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