question_answer

A circle with centre O is inscribed in a quadrilateral PQRS as shown in the figure. Which one of the following statements is /are true? (i) \[\angle POS\text{ }+\text{ }\angle QOR\text{ }=\text{ }180{}^\circ \] (ii) \[\angle POQ\], and \[\angle ROS\] are complementary. (iii) OP, OQ, OR and OS are the angle bisectors of \[\angle P,\text{ }\angle Q,\text{ }\angle R\text{ }and\text{ }\angle S\] respectively.

A) both (i) and (ii)  

B)  both (i) and (iii)

C) both (ii) and (iii)                                     

D) All (i), (ii) and (iii)

E) None of these