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16 March, 06:59

Let x represent the measurment of an acute angle in degrees. the ratio of the complement of x to the supplement of x is 2: 5. guess and check to determine the value of x. explain why your answer is correct.

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Answers (2)
  1. 16 March, 08:16
    0
    I think the answer is

    2 : 5
  2. 16 March, 10:02
    0
    Ratio of complement of x : supplement of x

    2 : 5

    ⇒ 2 times the supplement of x will be equal to 5 times the complement of x

    5 (90 - x) = 2 (180 - x)

    450 - 5x = 360 - 2x

    5x - 2x = 450 - 360

    3x = 90

    x = 30°

    Complement of x = 90 - x = 90 - 30 = 60

    Supplement of x = 180 - x = 180 - 30 = 150

    Ratio:

    60 : 150

    60 : 30 : 150 : 30

    2 : 5 (checked)
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