Find The Measure of an Angle ? If

The measure of an angle whose supplement is three times as large as its complement, is

  1. 75 degree
  2. 45 degree
  3. 30 degree
  4. 60 degree
Anurag Mishra Professor Asked on 12th August 2015 in Maths.
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    Best answer

    Answer: (2) 45 degree

    Explanation:-
    Let the measure of an angle be X.
    Then, the supplement angle of X = 180 – X

    Then, complement angle of X = 90 – X
    Supplement angle is three times as large as its complement.
    Then, 3(90 – X ) = 180 – X
    3 x 90 – 3 x X = 180 – X
    270 – 3 X = 180 – X
    – 3 X + X = 180 – 270
    – 2 X = -90
    2 X = 90
    X = 90/2
    X = 45 degree

    Hence, the answer is (2) 45 degree.

    Anurag Mishra Professor Answered on 13th August 2015.
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