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11 May, 12:16

Two angles are supplementary if their sun is 180. The larger angle measures five degrees more than four times the measures of a smaller angles. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle

The smaller angle measures:

The larger angle measures:

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Answers (1)
  1. 11 May, 15:29
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    The smaller angle is 35 and the larger one is 145.

    Step-by-step explanation:

    In order to find this, we need to express the larger angle in terms of the smaller angle (x).

    4x + 5 = large angle.

    Now that we have this, we can add them together and set equal to 180.

    x + (4x + 5) = 180

    5x + 5 = 180

    5x = 175

    x = 35

    Now that we have the value of the smaller angle, we can plug in to get the larger angle.

    y = 4x + 5

    y = 4 (35) + 5

    y = 140 + 5

    y = 145
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