Question

B.In the adjoining figure, lines AB, CD and PQ intersect at O. ∠AOP=2x , ∠BOC=5x+20 and ∠DOQ=3x
Find a) the value of x
b) m∠COB
please help me with the correct ans as soon as possible​

Answer 1

Answer:

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

∘