Question

Q
R
In the given figure, line AB bisects COD. If ZBOC = 65°, find the
measures of ZAOD and ZAOC.
65
B
D
Lines and Angles
319​

Answer 1

Answer:

ANSWER

Lines AB,CD and EF intersect at O As OF bisects ∠BOD

⟹∠DOF=∠BOF=35(Given).....(1)

Also, AB is a straight line ⟹∠AOD+∠DOF+∠BOF=180(sum of angles formed by straight line is 180)

⟹∠AOD+35+35=180

⟹∠AOD=180−70=110

Now∠AOD=∠BOC

(Vertically opposite angle) ⟹∠BOC=110

solution