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In the figure above (not to scale), `bar(EF)||bar(GD), bar(AF)||bar(EG), bar(AD)||bar(BC)` and `/_ DCG =100^(@)`. If `/_CDG=40^(@)`, then find `/_AEF`.

A

`30^(@)`

B

`40^(@)`

C

`150^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:

b

(i) Sume of the angles of a triangles is `180^(@)`. Corresponding angles are equal.
(ii) In `Delta CDG`, find `/_ DGC`.
(iii) Find `/_ EDG`, using alternate angles property.
(iv) Then use the property of corresponding angles and find the required angle.

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