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3 November, 23:56

Find the measurement of both complementary angles, if:

One of them is 3 times less than the other

the answer=?

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  1. 4 November, 02:52
    0
    We are given one angle is 3 times less than other.

    Let us assume one angle measure is x degrees and another is 4x.

    Because x is 3x less than 4x. (We can check 4x-x = 3x)

    Sum of complementary angles is 90 degrees.

    So, we can setup an equation

    First angle measure + first angle = 90 degrees.

    x+4x = 90.

    Adding x and 4x, we get 5x.

    So, 5x = 90.

    Dividing both sides by 5, we get

    5x/5 = 90.

    x = 18.

    So, one angle is of 18 degrees.

    Another angle = 4x = 4 times 18 = 72 degrees.

    So, required angles are of 18 degree and 72 degree.
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