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15 November, 08:59

An angle measures 12 degrees less than 3 times its supplement

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  1. 15 November, 09:03
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    Given that the angle measures 12 degrees less than 3 times the supplement, the size of the angle will be:

    suppose the size of the supplement is x;

    the size of the angle supplementary to x will be:

    3x-12

    Given that the sum of supplementary angles is 180, thus;

    x + (3x-12) = 180

    solving for x we get:

    4x-12=180

    4x=180+12

    4x=192

    x=192/4

    x=48

    the size of the supplementary angles will be:

    48*3-12

    =132
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