ABCD is a quadrilateral in which AD = BC and $∠ D A B = ∠ C B A$ (See the given figure). Prove that
$∠ A B D = ∠ B A C .$

Open in App

Solution

$I n Δ A B D a n d Δ B A C, A D = B C (G i v e n) ∠ D A B = ∠ C B A (G i v e n) A B = B A (C o m m o n) ∴ Δ A B D ≅ Δ B A C (B y S A S c o n g r u e n c e r u l e) ∴ ∠ A B D = ∠ B A C (B y C P C T)$

Suggest Corrections

Similar questions

∠ D A B = ∠ C B A

Δ A B D ≅ Δ B A C

$A B C D$ is a quadrilateral in which $A D = B C$ and $∠ D A B = ∠ C B A$ prove that
$∠ A B D = ∠ B A C$

∠ D A B = ∠ C B A

∠ A B D = ∠ B A C .

A D = B C

∠ D A B = ∠ C B A

△ A B D ≅ △ B A C

B D = A C

∠ A B D = ∠ B A C

∠ D A B = ∠ C B A

∠ A B D = ∠ B A C .

Join BYJU'S Learning Program