![Sides PQ and SR of a cyclic quadrilateral PQRS are produced to meet at T and sides PS and QR are produced to meet at](https://www.gkseries.com/blog/wp-content/uploads/2024/03/Sides-PQ-and-SR-of-a-cyclic-quadrilateral-PQRS-are-produced-to-meet-at-T-and-sides-PS-and-QR-are-produced-to-meet-at.jpg)
Sides PQ and SR of a cyclic quadrilateral PQRS are produced to meet at T and sides PS and QR are produced to meet at U. If ∠PST = 87° and ∠ QTR = 41° , then the difference between ∠ QPS and ∠ SUR is
a) 15°
b) 23°
c) 17°
d) 19°
Sol:
![](https://www.gkseries.com/blog/wp-content/uploads/2024/03/image-144-1007x1024.png)
Required Difference = 52° – 35° = 17°