Question

如图直线ab,cd相交于点o,oe平分∠aod,若∠bod=100

则∠ aoe=

Answer 1

解：∵∠AOD与∠BOD互为邻补角，∠BOD=100°，
∴∠AOD=180°-∠BOD=80°，
又OE平分∠AOD，
∴∠AOE=40°．

Answer 2

∵∠AOD - ∠AOC = 20
∠AOD + ∠AOC =180
∴∠AOD = 100 ∠AOC =80
∴∠AOE = ∠AOD + ∠AOC ÷2 =140

Answer 3

40