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UKMT Pink Kangaroo, 2025

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

Freddy folds a square $WXYZ$ in half along the diagonal $WY$ to make a triangle $WXY$ . Then he folds the paper again so that the edge $XY$ of this triangle lies on part of the edge $WY$ , making the smaller triangle $WVY$ as shown. What is the size of angle $\angle WVY$ ?

(A) $108^\circ$ (B) $112.5^\circ$ (C) $120^\circ$ (D) $145^\circ$ (E) $157.5^\circ$

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