Question

2. ABCD is a quadrilateral in which AD = BC and
Z DAB = Z CBA (see Fig. 7.17). Prove that
(1) A ABD=ABAC
(ii) BD=AC
(iii) Z ABD = ZBAC​

Answer 1

Answer:

=> ∠ADB = ∠BCA

=> BD = AC

=> ∠ABD = ∠BAC

Step-by-step explanation:

ABCD is a quadrilateral in which AD = BC and

∠DAB = ∠ CBA  

in Δ ABD  & Δ ABC

AB = AB Common

AD = BC  given

∠DAB = ∠ CBA  given

=> Δ ABD  ≅ Δ ABC

=> all Corresponding sides & Angles are equal

=> ∠ADB = ∠BCA

=> BD = AC

=> ∠ABD = ∠BAC

QED

Proved