Question

如图所示,已知AB//CD,说明∠APC与∠PAB、∠PCD的关系

Answer 1

连结AC,

∵AB∥CD,

∴∠CAB+∠ACD=180°,

又∵∠P+∠PAC+∠PCA=180°

∴∠CAB+∠ACD+∠P+∠PAC+∠PCA=360°

即∠APC+∠PAB+∠PCD=360°