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1 September, 08:57

The measure of one angle is 32° less than the measure of its supplement. Write an equation and solve it to find the measurements of the angles.

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  1. 1 September, 12:22
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    Let's make variables for two angles first. One angle will be x, and the other will be y.

    Since they're supplementary, we know x + y = 180

    We also know x = y - 32, since it's 32 degrees less than it's supplement.

    Input the value of x into the first equation and ...

    y - 32 + y = 180

    2y - 32 = 180

    Add 32 to both sides:

    2y = 212

    Divide both sides by 2:

    y = 106

    We can solve for x in two ways.

    One, we can subtract 32 from 106 since x is 32 degrees less.

    Or, we could also just subtract 106 from 180 since we know the angles are supplementary.

    x = 74

    74 degrees and 106 degrees. The equation is y - 32 + y = 180, or x + y = 180
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