Maths Olympiad Prep

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

In trapezium PQRSPQRS, the sides PQPQ and SRSR are parallel. Angle RSPRSP is 120120^\circ and PS=SR=13PQPS = SR = \frac{1}{3}PQ. What is the size of angle PQRPQR?

(A) 1515^\circ (B) 22.522.5^\circ (C) 2525^\circ (D) 3030^\circ (E) 4545^\circ

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