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In the above figure (not to scale) `bar(AB),bar(BC),bar(CF),bar(DE)` and `bar(FE)` are chords of the circle. If `/_ ABC =100^(@)` and `/_ FED =110^(@)`, then `/_FPA =`

A

`20^(@)`

B

`30^(@)`

C

`40^(@)`

D

`70^(@)`

Text Solution

Verified by Experts

The correct Answer is:
b
(i) Opposite angles of a cyclic quadrilateral are supplementary.
(ii) Join AF, then ACF and ADEF are cyclic quadrilaterals.
(iii) In a cyclic quadrilateral opposite angles ae supplementary.
(iv) By using the above two statements get the angles PAF and PFA and proceed to get the required angle.
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