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26 February, 16:49

The system of equations below represents the measures of 2 angles created by the diagonal of a rectangle: x + y = 90 y = 1/5 What is the measure of the greater angle? ° What is the measure of the smaller angle? °

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  1. 26 February, 17:04
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    The larger of the two angles is x, which is 75. y is the smaller angle at 15.

    Step-by-step explanation:

    In order to find these, we can use our solved value for y in the second equation to plug into the first equation. This method is called substitution.

    x + y = 90

    x + (1/5x) = 90

    1.2x = 90

    x = 75

    Now we can plug that value into either equation to find y

    y = 1/5x

    y = 1/5 (75)

    y = 15
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