Question

初一有关角的应用题已知∠AOE是平角,OD平分∠COE,OB平分∠AOC,∠COD：∠BOC=2:3,求∠COD、∠BO

Answer 1

设：∠COE=2α,则∠AOC=180-2α,∵∠COD:∠BOC=2:3,∴2∠COD:2∠BOC=2:3

∴∠AOC:∠COE=2:3 ∴180-2α:2α=2:3∴α=54° ∴∠COE=108°,∠COD=54°

∠AOC=72°,∠BOC=36°

答：∠COD=54°,∠BOC=36°.