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UKMT Intermediate Mathematical Challenge, 2023

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

In the diagram, $PQRS$ is a square, $PST$ is an equilateral triangle and $SRUVW$ is a regular pentagon. What is the size of angle $WTS$ ?

(A) $35^\circ$ (B) $36^\circ$ (C) $37^\circ$ (D) $38^\circ$ (E) $39^\circ$

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