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UKMT Grey Kangaroo, 2015

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

In trapezium $PQRS$ , the sides $PQ$ and $SR$ are parallel. Angle $RSP$ is $120^\circ$ and $PS = SR = \frac{1}{3}PQ$ . What is the size of angle $PQR$ ?

(A) $15^\circ$ (B) $22.5^\circ$ (C) $25^\circ$ (D) $30^\circ$ (E) $45^\circ$

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