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Question

From the figure shown, find APB in degrees, if AOB=120.

  1. 60
  2. 40
  3. 75
  4. 80


Solution

The correct option is A 60
Recall that the angle subtended by an arc at the centre of the circle is twice the angle subtended by this arc in the other segment.

Now the angle subtended by the arc at the centre is AOB, which is 120.APB is the angle subtended by the arc in the other segment. So it should be half the angle subtended by the arc at the centre (which is 120). Half of 120 is 60. So APB=60.

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