DE-BUNDESWETTBEWERB 2013 Problem 3

Round 1

In the interior of the square $ABCD$ , the point $P$ lies in such a way that $\angle DCP = \angle CAP=25^{\circ}$ . Find all possible values of $\angle PBA$ .

Dataset text AI-MO AoPS. Quoted with source.

Official text: Bundeswettbewerb Mathematik 2013 official paper, page 1.

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