Q. 10

In the figure, find the value of y
.

Answer :

Since line EF and AB intersect at O, hence vertically opposite angles ∠EOB and ∠AOF will be equal. 
⇒ ∠EOB = ∠AOF = 5y …. (i)
Now two rays EO and BO stands on line CD 
⇒ ∠COE + ∠EOB + ∠BOD = 180°
             ⇒ 4y + 5y + 3y = 180°
                          ... 12y = 180° 
                              ⇒ y = 15°.

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