Question

In the figure, O is centre of the circle and PQRS is a cyclic quadrilateral. IfZQOS = 110°, find ZQRS.​

Answer 1

Step-by-step explanation:

PQRS is a cyclic quadrilateral.

measure of angle QOS=measure of arc QC

(reason:relation between central angle and corresponding minor arc)...........1

Therefore

measure of angle QRS=1/2×measure of arc QC......from 1

measure of angle QRS=1/2×110°

measure of angle QRS=55°

Therefore measure of angle QRS=55°