Question

如图,在正方形ABCD中,AP=AD,角PAD=40°求角BPD的度数

Answer 1

∵四边形ABCD为正方形 ∴AB=AD,∠BAD=90° ∵AP=AD,∠PAD=40° ∴∠BAP=∠BAD+∠PAD=130°,AP=AB ∵∠PAD+∠ADP+∠APD=180° ∴∠APD=70° ∵∠PAB+∠APB+∠ABP=180° ∴∠APB=25° ∴∠BPD=∠APD-∠APB=45°