The value of ∠EOF is 75°.
Step-by-step explanation:
Let us take O be the center of the circle.
Given,
∠AOB = 45°
∠COD = 60°
To find the ∠EOF (value of x)
Now,
Since AD is the diameter of the circle, ∠AOD = 180°
∠AOB+∠COD+∠BOC = ∠AOD
Or, 45°+60°+∠BOC = 180°
or, ∠BOC = 180°-(45°+60°)
= 75°
Again,
∠BOC = ∠EOF as they are vertically opposite angle.
Hence,
∠EOF = 75°
