In the figure three lines AB, CD and EF intersect each other at point O such that angle AOE=38 degree and angle BOD=48 degree Find the COF
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Step-by-step explanation:
It is given that ∠BOD=180
o
from the figure we know that ∠BOD and ∠AOC are vertically opposite angles
∠AOC=∠BOD=40
o
It is given that ∠AOE=35
o
from the figure we know that ∠BOF and ∠AOE are vertically opposite angles
∠AOE=∠BOF=35
o
from the figure, we know that AOB is a straight line
so it can be written as
∠AOB=180
o
we can write it as
∠AOE+∠EOD+∠BOD=180
o
by substituting the values
35
o
+∠EOD+40
o
=180
o
∠EOD=105
o
from the figure, we know that ∠COF and ∠EOD are
vertically opposite angles
∠COF=∠EOD=105
o
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