UKMT Pink Kangaroo, 2024

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Tom draws a square. He adds a regular hexagon, one side of which joins the centre of the square to one of the vertices of the square, as shown. What is the size of angle $\alpha$ ?

(A) $105^\circ$ (B) $110^\circ$ (C) $115^\circ$ (D) $120^\circ$ (E) $125^\circ$

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