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.
Add Comment
  • 1 Answer(s)

    Warning: Illegal string offset 'alt_text' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 742

    Warning: Illegal string offset 'description' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 743

    Warning: Illegal string offset 'alt_text' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 742

    Warning: Illegal string offset 'description' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 743

    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.
    Add Comment
  • Your Answer

    By posting your answer, you agree to the privacy policy and terms of service.