MathematicsWhich of the following is the values of x and y?

Which of the following is the values of x and y?


  1. A
    x=11oand y=68o
  2. B
    x=12oand y=60o
  3. C
    x=121oand y=68o
  4. D
    x=68oand y=121o  

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    Solution:

    Consider the given figure,
    In a cyclic quadrilateral sum of opposite angles are supplementary.
    Then from the figure,
    112o+x=180o
    x=180o-112o
    ⇒x=68o
    Similarly,
    59o+y=180o
    y=180o-59o ⇒y=121o
    Hence, the value of x=68o and y=121o.
    Therefore, option 4 is correct.
     
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