摘要:­∴∠D+∠DCB=180°,∠BCA=∠DAC ­∴∠DCB=180°-∠D=180°-120°=60° ­又∵∠DCA=20° ­∴∠BCA=∠DCB-∠DCA=60°-20°=40° ­∴∠DAC=∠BCA=40° ­2.∵∠1=∠5 ∠1=∠2 ­∴∠5=∠2 ­∴a∥b ­∴∠3+∠4=180° ­3.∵AD∥BC ­∴∠B+∠A=180° ∠D+∠C=180° ­又∵∠A=135° ∠C=65° ­∴∠B=45° ∠D=115° ­∴∠B+∠D=45°+115°=160° ­另解:ABCD为四边形 ­∴∠A+∠B+∠C+∠D=360° ­∴∠B+∠D=360°-∠A-∠C=360°-135°-65°=160°

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