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16 October, 23:44

The difference between 3 times an angle's supplement and 100 is 17. Find the measure of the angle?

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  1. 17 October, 01:36
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    The angle is 141 degrees.

    Step-by-step explanation:

    We start by listing the angle as x.

    Noting that, we know that it's supplement is 180 - x.

    With these two facts given, we can model the equation as the following and then solve for x.

    3 (180 - x) - 100 = 17

    540 - 3x - 100 = 17

    440 - 3x = 17

    -3x = - 423

    x = 141
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