Question

in the figure, ab cd and ef are three straight line intersecting O.find the measure of angle BOC.​

Answer 1

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In the below figure AB,CD and EF are three lines concurrent at O. Find the value of y.

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Solution

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In the given figure,

∠BOF=5y

So,

∠EOA=∠BOF=5y ( vertically opposite angles )

Also

∠COE+∠EOA+∠AOD=180

∘

( supplementary angles )

2y+5y+2y=180

∘

9y=180

∘

y=

9

180

=20

∘