It is known that a [0, a], [b, 0], [C, 0] are the three vertices of △ ABC. A straight line L passing through the origin o of the coordinate intersects with the line AB at point D, and is the extension of ca (1) if the angle BOD is 45 °, calculate the degree of BPD

It can be seen from the image that:
∠ADO=∠OBD+∠BOD,∠ADO=2∠PDO;
Therefore, ∠ PDO = 1 / 2 * (∠ OBD + ∠ BOD) = ∠ OBP + (1 / 2) * ∠ bod （1）
However, ∠ BPD + ∠ PDO = ∠ OBP + ∠ bod （2）
From (2) - (1), we can get ∠ BPD = (1 / 2) * ∠ BOD = 22.5 °

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