Question

In the given tigure, find the value of y.
900
3y​

Answer 1

Answer:

y = 20°

Step-by-step explanation:

Let the center point be O

∠AOF + ∠FOD + ∠DOB = 180° [ Linear pair (LP) ]

∠AOF = 90° ( Given )

∠FOD = ∠COE [ Vertically opposite angles (VOA) ]

           = 30°

∠DOB = 3y

90° + 30° + 3y = 180°

120° +3y = 180°

3y = 180 - 120

3y = 60°

∴ ∠DOB = 60°

y = 60/3

 = 20°

∴ y = 20°