![MNOP is a cyclic quadrilateral. The angle bisector of ∠PMN and ∠PON meets the circle at point A and B respectively](https://www.gkseries.com/blog/wp-content/uploads/2024/03/MNOP-is-a-cyclic-quadrilateral.-The-angle-bisector-of-∠PMN-and-∠PON-meets-the-circle-at-point-A-and-B-respectively.jpg)
MNOP is a cyclic quadrilateral. The angle bisector of ∠PMN and ∠PON meets the circle at point A and B respectively. Find the value of ∠AMB?
(a) 45°
(b) 90°
(c) 60°
(d) 120°
Sol:
![](https://www.gkseries.com/blog/wp-content/uploads/2024/03/image-334-1024x1000.png)
Assume any angle ∠PMN = 60°
Angle made by arc BN = 60° at
So angle made by arc BN = 60° at M
∴ ∠AMB = 90°