CEMC Cayley, 2008

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

In the diagram, $P$ is on $RS$ so that $QP$ bisects $\angle SQR$ . Also, $PQ = PR$ , $\angle RSQ = 2y^\circ$ , and $\angle RPQ = 3y^\circ$ . The measure of $\angle RPQ$ is

(A) $90^\circ$ (B) $108^\circ$ (C) $120^\circ$ (D) $60^\circ$ (E) $72^\circ$

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