Question

ABCD is a parallelogram and BEC is a triangle . BFE and CDE are straight line . Angle BAF is 46 and BFA is 65 . Find angle BEC and EDA ?

Answer 1

Step-by-step explanation:

∠BAD=∠CDF (Corresponding angles for parallel lines AB and CD)

∠BAD=∠CBE (Corresponding angles for parallel lines AB and CD)

Thus, ∠CDF=∠CBE (I)

We know, AD=BC (ABCD is a parallelogram)

and AD=DF (Given)

Thus, DF=BC (II)

Similarly, BE=CD (III)

Now, In △CDF and △CBE

∠CDF=∠CBE (From I)

FD=BC (From II)

BE=CD (From III)

Thus, △FDC≅△CBE (SAS rule)

△BEC≅△DCF