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31 May, 05:20

The measure of an angle is five degrees greater than six times its supplement. what is the measure of the larger angle?

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  1. 31 May, 09:05
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    Let the measure of the smaller angle be x, then the larger angle is 5 + 6x and

    x + 5 + 6x = 180

    7x + 5 = 180

    7x = 180 - 5 = 175

    x = 175/7 = 25

    The larger angle is 5 + 6 (25) = 5 + 150 = 155 degrees.
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