What will be the Measure of ∠R

In a parallelogram PQRS, angle P is four times of angle Q, then the measure of ∠R is

  1. 36°
  2. 130°
  3. 72°
  4. 144°
Monis Rasool Professor Asked on 23rd August 2015 in Maths.
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  • 1 Answer(s)

    Answer : (4) 144o

    Explanation : –
    In a parallelogram PQRS,

    RE: What will be the Measure of ∠R


    Let the angle Q be X
    Then, the angle P = 4 X
    As we know that, Sum of two adjacent angle of a parallelogram is 180o
    Then, X + 4 X  = 180
    5 X = 180
    X = 180/5
    X = 36o
    Then, Angle R + Angle Q = 180o
    Angle R = 180o – 36o
    Angle R = 144o
    Then, the angle R is 144o
    Hence, the answer is (4) 144o

    Anurag Mishra Professor Answered on 28th August 2015.
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