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29 September, 06:10

The measure of two complementary angles have a ratio of 3:2. What is the measure of the larger angle?

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  1. 29 September, 06:20
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    54 degrees

    Step-by-step explanation:

    Complementary angles add to 90 degrees

    3:2

    Multiply each by x

    3x:2x

    Add the angles together and set equal to 90

    3x+2x = 90

    Combine like terms

    5x = 90

    Divide each side by 5

    5x/5 = 90/x

    x = 18

    The angles are 3x = 3 (18) = 54

    and 2x = 2 (18) = 36
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