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.