1.

In the given figure (not to scale), O is the center of the circle `C_(1)` and AB is the diameter of the circle `C_(2)`. Quadrilateral PQRS is inscribed in the circle with center O. Find `angleQRS`. A. `105^(@)`B. `115^(@)`C. `135^(@)`D. `145^(@)`

Answer» Correct Answer - C
i) As AB is the diameter, `angleAOB=90^(@)`.
ii) `angleQPS=1/2(angleQOS)`.
iii) PQRS is a cyclic quadrilateral.


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