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10 December, 23:37

The angles of a triangle form an arithmetic sequence of the smallest angle measures 36 degrees what is the largest angle

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  1. 11 December, 00:18
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    They add to 180

    x+y+z=180

    smallest (lets say that's x) is 36

    36+y+z=180

    minus 36 both sides

    y+z=144

    each term is the common difference away from the next term

    z=y+d

    y+y+d=144

    and also

    36+d=y so

    36+d+36+d+d=144

    3d+72=144

    minus 72 both sides

    3d=72

    divide both sides by 3

    d=24

    common difference is 24

    36+24=60

    60+24=84

    36+60+84=180

    correct

    largest angle is 84 degrees
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