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Question

In the given figure if 'O' is the centre of the circle then  AOB =___


  1. None of the above

  2. 260

  3. 100

  4. 50


Solution

The correct option is C

100


Give  OAC=20 and  OBC=30

Let us draw aa line joining 'O' and 'C'

Now in Δ OAC

OA = OC

    OCA= OAC

    OCA=20

Similarly in Δ BOC

OB = OC

    OCB= OBC

    OCB=30

     ACB= OCA+ OCB

=20+30

=50

Now    AOB=2× ACB

(because The angle subtends by arc at centre is twice that it subtends at any point on the remaining part of circumference)

     AOB=2×50

=100

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