Question

three lines AB, CD and EF intersect each other at O. If angle ∠AOE = 30°and ∠DOB = 40°, find ∠FOB,∠COA, ∠COE and ∠COF.

Answer 1

Step-by-step explanation:

As AB is a straight line.

∴∠AOE+∠EOD+∠DOB=180

o

⇒∠EOD=180

o

−30

o

−40

o

⇒∠EOD=110

o

.....(1)

Now, CD and EF intersect each other at point O.

∴∠COF=∠EOD=110

o

[vertically opposite angles]

Therefore, ∠COF=110

o