Question
In the above figure, ACDF, ABEF and BCDE are parallelograms. Analyse the given figure and choose the correct option(s).
Answer: Option B
:
B and C
Was this answer helpful ?
:
B and C
Since ABEF is a parallelogram, so AF || BE and BF is the transversal.
∴∠AFB=∠FBE=x
[Alternate angles]
Also, since BCED is a parallelogram,
BE || CD and BD is the transversal.
∴∠CDB=∠EDB=y
[Alternate angles]
Now,
∠FBD=∠FBE+∠EBD
∠FBD=x+y
And,
∠AFE=∠BED
[Corresponding angles]
∴∠AFE=z
∠BED=∠BCD=z
[opposite angles of a parallelogram]
∠CDG+∠BCD=∠EBD+∠BED
[Sum of opposite interior angles is equal to exterior angle of a triangle]
⇒∠CDG=y+z−y
⇒∠CDG=z
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution