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An angles measure is 3 times of its complement. find the measure of the angle and the measure of its complement.

  • geometry -

    Let the angle be Ø
    then its complement is 90-Ø

    Ø = 3(90-Ø)
    Ø = 270 - 3Ø
    4Ø = 270
    Ø = 67.5

    So the angle is 67.5° and its complement is 22.5°

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