question_answer

PQR is a triangle in which\[\angle \mathbf{Q}\text{ }=\text{ }\mathbf{2}\angle \mathbf{R}\]. If a line PS is drawn from vertex P such that it bisects \[\angle \mathbf{QPR}\] and cuts QR at S such that \[\mathbf{PQ}\text{ }=\text{ }\mathbf{RS}\], then \[\angle \mathbf{QPR}\text{ }+\text{ }\angle \mathbf{QRP}\] equals to __________

A) \[72{}^\circ \]                                                              

B) \[136{}^\circ \]        

C) \[108{}^\circ \]            

D) \[130{}^\circ \]

E) None of these.