If ABCD is a cyclic quadrilateral with ∠A=50o, ∠B=80o, then ∠C and ∠D are :

  1. 115o, 115o
  2. 110o ,120o
  3. 130o, 100o
  4. 100o, 130o
Anurag Mishra Professor Asked on 29th December 2015 in Maths.
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  • 1 Answer(s)

    Answer is 100 degree and 130 degree

    Explanation:-

    RE: If ABCD is a cyclic quadrilateral with ∠A=50o, ∠B=80o, then ∠C and ∠D are :


    As we know that the sum of adjacent angle is 180 degree. 
    Then, Angle B + Angle C = 180 degree
    80 degree + Angle C = 180 degree
     Angle C = 180 – 80
     Angle C = 100 degree 

    And   Angle A + Angle D = 180 degree
     50 degree + Angle D = 180 degree
    Angle D = 180 – 50 
    Angle D = 130 degree

    Then, the value of Angle C and Angle D are 100 degree & 130 degree. 

    Hence, the correct answer is option (4) 100 degree and 130 degree. 

    Monis Rasool Professor Answered on 29th December 2015.
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