winter holiday homework 7

Geometry Level 1

OE, OD are angle bisector of ∠AOB and ∠BOC, if AOB=90º, ∠EOD=70º find the measure of ∠BOC


The answer is 50.

Sophie Huang by Sophie Huang , 20, China

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2 solutions

Sophie Huang
Feb 16, 2015

∵OE bisects ∠AOB ∵∠AOB=90º ∴∠EOB=45º ∵∠EOD=70º ∴∠BOD=70º-45º=25º ∵OD bisects ∠BOC=25º×2=50º

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Shoumya Bhowmik
Feb 15, 2015

∠AOB=90º 

            ∠EOB=90º/2=45º    [OE IS THE ANGULAR BISECTOR OF ∠AOB]

            ∠EOD=70º

Hence, 

            ∠BOD=70º-45º =25º

Therefore, 

            ∠BOC=25º*2=50º
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