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7 February, 04:00

Consider the following polygon. Determine the measure of both angles A and B. Show your work. A = (14x+5) B = (12x+4) other four angles: 83, 150, 135, 161

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  1. 7 February, 05:14
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    Angle A = 103

    Angle B = 88

    Step-by-step explanation:

    Hexagons have six sides, and so does this figure.

    You can calculate the degrees in a shape by doing (n-2) 180. With n being the number of sides (6)

    There are 720 degrees in a hexagon.

    1) Now write the following equation:

    (14x+5) + (12x+4) + 83+150+135+161=720

    2) Combine alike terms:

    26x+538=720

    3) Subtract 538 from both sides:

    26x=182

    4) Divide both sides by 26

    x=7

    5) Plug in 7 as X in the original two equations for A and B

    A - 14 (7) + 5 = 103

    B - 12 (7) + 4 = 88
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