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SSS Criteria for Congruency of Triangles

In the given ...

Question

In the given figure, $△ D A$ and $△ C A B$ are on the same base $A B$ . Prove that $△ D A B \equiv △ C A B$

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Solution

Consider $△ D A B$ and $△ C A B$
$∠ D A B = 35^{o} + 20^{o} = 55^{o} = ∠ C B A$ (given)
$∠ D B A = ∠ C A B = 20^{o}$
$A B$ is common to both the triangles.
$∴ △ D B A \equiv △ C A B$ (by ASA axiom)

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