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24 August, 18:24

Use an algebraic equation to find the measures of the two angles described below. begin by letting x represent the degree measure of the angle's supplement. the measure of the angle is eight times greater than its supplement. what is the measure of the supplement?

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  1. 24 August, 18:54
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    Two angles are said to be supplement when their measure add up to 180 degrees.

    Assume that the angle we are looking for is a and its supplement is s (I used s instead of x).

    a + s = 180

    a = 180 - s ... > equation I

    We know that the measure of the angle is eight times greater than its supplement.

    This means that:

    a = 8s ... > equation II

    Substitute by equation II in equation I to get s as follows:

    180 - s = 8s

    180 = 9s

    s = 20 degrees

    Substitute in equation I to get the measure of the angle as follows:

    a = 180 - s = 180 - 20 = 160 degrees

    Based on these calculations:

    The measure of the angle is 160 degrees

    The measure of its supplement is 20 degrees
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