Q. 44.5( 498 Votes )

# l and m are two p

It is given in the figure given, l parallel to m

And, p parallel to q

To prove:- ΔABC ≅ ΔCDA
In ΔABC and ΔCDA

BCA = DAC (Alternate interior angles)

∠BAC = ∠DCA (Alternate interior angles)

AC = AC (common)

Two angles and one side in between are equal, therefore, By ASA congruence,

ΔABC ≅ ΔCDA

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