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
- 36°
- 130°
- 72°
- 144°
Answer : (4) 144o
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
