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In the figure below, bar(AB)||bar(FC),ba...

In the figure below, `bar(AB)||bar(FC),bar(AE)||bar(BC)` and `bar(AF)||bar(BD)`. If `/_ F=x^(@),/_C = gamma^(@),/_EAB= k^(@)` and `/_ABD =p^(@)`, then which of the following options is correct ?
ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PS_MATH_VIII_C16_E05_004_Q01.png" width="80%"gt

A

`x=k` and `gamma =p`

B

`x=p` and `gamma =k`

C

Both (a) and (b)

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
b
(i) The opposite angles of a parallelogram are equal.
(ii) `/_ AEF` and `/_ EAB` are alternate angle . `/_ BDC` and `/_DBA` are alternate angles
(iii) ABDF andABCE are parallelogram
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