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In a parallelogram PQRS, angle P is four times of angle Q, then the measure of ∠R is
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- 144°
- 36°
- 72°
- 130°
- 144°
Correct Option: A
As per the given in question , we draw a figure parallelogram PQRS
we know that , ∠SPQ + ∠PQR = 180°
⇒ 4 ∠PQR + ∠PQR = 180°
⇒ 5 ∠PQR = 180°
⇒ ∠PQR = | = 36° | |
5 |
∴ ∠SRQ = 180° – 36° = 144°