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2 January, 03:55

Two angles are supplementary if their sum is 180°. The larger angle measures six

degrees more than twice

the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.

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  1. 2 January, 04:11
    0
    Okay, to find the answer, you need an equation. So here we go ...

    Small angle = x

    Large angle = 2x+6

    Sum of the angles = 180°

    The equation is now

    2x+6+x=180

    Simplify

    3x+6=180

    Now move the 6 to the there side (numbers together)

    3x+6 (-6) = 180 (-6)

    3x=174

    Now divide by 3 to solve for x

    3x/3=174/3

    X=58

    That is the smaller angle.

    Now for the large angle, just plug that number into the other equation

    2 (58) + 6=?

    116+6=122

    That is your large angle.
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