Question

in AABC, AB =BC and in AACD, AD = CD. prove that LBAD = LBCD.
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Answer 1

Answer:

⇒  AD=BC            [ The line segment between the parallel line are equal ]

Step-by-step explanation:

ABCD is a quadrilateral. AB∥CD

Join AC and BD which intersect at point O.

In △AOB and △COD

⇒  ∠BAO=∠DCO           [ Alternate angles ]

⇒  ∠ABO=∠CDO           [ Alternate angles ]

⇒  ∠AOB=∠COD           [ Vertically opposite angles ]

∴  AB=CD               [ CPCT ]

⇒  AD=BC            [ The line segment between the parallel line are equal ]