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Question

In the given figure, O is the centre of the circle. Find x.



Your Answer
A

50° 

Correct Answer
B

40°  

Your Answer
C

30°       

Your Answer
D

20°  


Solution

The correct option is C

40°  


The angle subtended by an arc at the centre is double than the angle subtended by it at any point on the remaining part of the circle.

AOC=2ABC     [ABC=50]

AOC=2×50=100

OAC=OCA     [OA = OC (radii of circle)]

In AOC,

x+x+AOC=180  [Angle sum property]

2x=180100

x=40

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