In the given figure, O is the centre of a circle and ∠OAB = 50°.
Question:

In the given figure, O is the centre of a circle and OAB = 50°. Then , ∠CDA = ?
(a) 40°

(b) 50°
(c) 75°
(d) 25°

 

Solution:

(b) 50°
We have:
OA = OB (Radii of a circle)
⇒ ∠OBA = ∠OAB = 50°  
∴ ∠CDA = ∠OBA = 50°   (Angles in the same segment of  a circle)

 

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