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In the given figure (not to scale), O is...

In the given figure (not to scale), O is the centre of the circle. A,B,C and D are concyclic and `AB=CD`. If `/_MON =120^(@)`, then find `/_ OPN`.

A

`20^(@)`

B

`30^(@)`

C

`40^(@)`

D

`60^(@)`

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The correct Answer is:
b
(i) Triangles POM and PON are congruent. Sum of the angles of a triangle is `180^(@)`.
(ii) Using the given conditions prove the triangles OMP and ONP are congruent.
(iii) Then use the relation `/_MOP =/_NOP =(1)/(2) /_ MON`.
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