∵AB∥CD
∠BAD=80°
∴∠ADC=100°
∴∠ADE=50°
△ADE中,∠AED=180°-∠BAD-∠ADE=180°-80°-50°=50°
∴∠BED=180°-∠AED=180°-50°=130°×如若配此图,此题答案应是:∵AB∥CD∠BAD=80°∴∠ADC=80°∴∠ADE=40°(设AB交CD于F)△ABF中,∠AFB=180°-∠BAD-∠ABF=180°-80°- 1/2 n°=100°- 1/2 n° ∠DFE=∠AFB=100°- 1/2 n°∴∠BED=180°-(100°- 1/2 n°)-40°=40°+1/2 n°