Question

如图,已知直线AB与CD相交于点O,OE,OF,OG分别是∠AOC,∠BOD,∠AOD的平分线

Answer 1

∵OE,OF,OG分别是∠AOC,∠BOD,∠AOD的平分线,

∠AOC=∠BOD

∴点E,O,F是在同以直线上

∠AOC+∠AOD=180°

∠AOE=1/2∠AOC,∠AOG=1/2∠AOD

∴∠GOE=∠AOE+∠AOG=1/2(∠AOC+∠AOD)=90°