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18 April, 02:43

An angle measures 17 more than 3 times a number. A second angle is three more than 7 times the same number. The 2 angles are supplementary. What is the measure of each angle.

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  1. 18 April, 04:27
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    Answer: the angles are 65 degrees and 115 degrees.

    Step-by-step explanation:

    Let x represent the number.

    An angle measures 17 more than 3 times a number. This means that the angle is

    3x + 17

    A second angle is three more than 7 times the same number. This means that the second angle is

    7x + 3

    If two angles are supplementary, it means that their sum is 180 degrees. Therefore,

    3x + 17 + 7x + 3 = 180

    3x + 7x + 17 + 3 = 180

    10x + 20 = 180

    10x = 180 - 20

    10x = 160

    x = 160/10

    x = 16

    The first angle is

    3 * 16 + 17 = 48 + 17 = 65 degrees

    The second angle is

    7 * 16 + 3 = 112 + 3 = 115 degrees
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