Question

AB,CD and Ef are three concurrent lines passing through the point O such that OF bisect angle BOD.if BOF=35 degree,find angle BOC and angle AOD​

Answer 1

Step-by-step explanation:

angle BOC = angle AOD (Vertically opposite angle) equ1

similarly BOD = AOC. equ2

OF bisects angle BOD (given)

then angle BOD = 2 BOF

BOD = 2×35

BOD = 70

using equ2

AOC = 70

now BOC + AOD + BOD + AOC = 360

BOC + BOC + 70 + 70 = 360 (using equ1)

2BOC = 360 - 140

2BOC = 220

BOC = 110

then AOD = 110