# 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

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Explanation : –
In a parallelogram PQRS,

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.