Question

In the figure below, lines AB, CD and EF intersect at O, AOE=550 and BOD=650
.

Find the measures of COF and BOF.

Answer 1

Answer:

It is given that ∠BOD=180°

from the figure we know that ∠BOD and ∠AOC are vertically opposite angles

∠AOC=∠BOD=40°

It is given that ∠AOE=35°

from the figure we know that ∠BOF and ∠AOE are vertically opposite angles

∠AOE=∠BOF=35°

from the figure, we know that AOB is a straight line

so it can be written as

∠AOB=180°

we can write it as

∠AOE+∠EOD+∠BOD=180°

=>by substituting the values

35°+∠EOD+40°

=180°

∠EOD=105°

from the figure, we know that ∠COF and ∠EOD are

vertically opposite angles

∠COF=∠EOD=105°

Answer 2

Answer:

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