In the question, identify the equal angles in the triangles.

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Solution

In the question it is given that $△ A B C$ ~ $△ B D C$ .

The following will be the corresponding angles of the two triangles

$∠ A C B$ = $∠ D B C$ , $∠ A B C$ = $∠ B D C$ and $∠ B A C$ = $∠ B D C$ .

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In the question, identify the equal angles in the triangles.

In the question it is given that △ABC ~ △BDC. The following will be the corresponding angles of the two triangles ∠ACB = ∠DBC, ∠ABC = ∠BDC and ∠BAC = ∠BDC.

In the question it is given that $△ A B C$ ~ $△ B D C$ .

The following will be the corresponding angles of the two triangles

$∠ A C B$ = $∠ D B C$ , $∠ A B C$ = $∠ B D C$ and $∠ B A C$ = $∠ B D C$ .