MathematicsThe measure of an angle which is 9 times its supplement is?




The measure of an angle which is 9 times its supplement is?


  1. A
      156°
  2. B
      162°
  3. C
    130°
  4. D
    190°
     

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    Solution:

    Let the required angle be x
    The sum of the supplementary angles is 180°
    So the complement of the angle is 180° - x
    And from the information it is given that the measure of an angle is 9 times its complement
    So we have

    On opening the bracket, we get

    Now we will take 9x to the left side and add it to the x

    After this we will take 10 in the denominator of right, we will get

    On division, we get

    The measure of an angle which is 9 times its supplement is 162°
    So, option 2 is correct.
     
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