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The side QR of an equilateral triangle PQR is produced to the point S in such a way that QR = RS and P is joined to S. Then the measure of ∠ PSR is
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- 30°
- 15°
- 60°
- 45°
- 30°
Correct Option: A
On the basis of given question, we draw a figure of an equilateral triangle PQR , 
∠ PRQ = 60° Since PQR is an equilateral triangle. So
∠ PRS = 180° – 60° = 120°;
⇒ ∠ PSR + ∠ RPS = 60°
As we know that from given question,
PR = RQ and RQ = RS
So RS = PR
∴ ∠ PSR = ∠ RPS
| ∴ ∠ PSR = | = 30° | |
| 2 |
