Q. 204.0( 4 Votes )
In the given figu
Answer :
Taking ΔABC and ΔABD in consideration-
AD = BC
Since, it is given that
∠1 = ∠2 and ∠3 = ∠4
Adding them –
∠1 + ∠3 = ∠2 + ∠4.
= ∠DAB = ∠ABC
And AB is the common side on both triangle.
So, by side angle side(SAS) criteria-
Triangle ΔABC and ΔABD are congruent.
So, BD = AC (by congruency criteria).
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