Two straight lines AB and CD intersect each other at point O If the Angle AOC=48 and OE bisectsAngleBOC, - Maths - Lines and Angles

Question

Two
straight lines AB and CD intersect each other at point O If the
Angle AOC=48 and OE bisectsAngleBOC, Find Angle EOD

Rishabh Mittal · Accepted Answer

∠AOC + ∠BOC =180°    Linear pair48°+ ∠BOC= 180°∠BOC =180-48 =132°∠BOC + ∠BOD =180°     Linear pair132° + ∠BOD =180°∠BOD = 48°∠BOE =∠BOC2=1322=66°    Angle bisector∠EOD = ∠BOE + ∠BOD = 48° + 66° =114°   ANS

Two straight lines AB and CD intersect each other at point O. If the Angle AOC=48 and OE bisectsAngleBOC, Find Angle EOD