In the following figures, which pairs of triangles are congruent by SAS congruence condition? If congruent, write the congruence of two triangles in the symbolic form :

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Solution

Checking the congruency:
In $∆ A B D$ and $∆ C B D$ ,
$A B = C B$ [ Each side $6 c m$ ]
$∠ A B D = ∠ C B D$ [ Each angle $20 °$ ]
$B D = B D$ [ Common side ]
Therefore, by SAS congruence condition $∆ A B D ≅ ∆ C B D$

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In the following figures, which pairs of triangles are congruent by SAS congruence condition? If congruent, write the congruence of two triangles in the symbolic form :

Checking the congruency:In ∆ABD and ∆CBD, AB=CB [ Each side 6cm ]∠ABD=∠CBD [ Each angle 20° ] BD=BD [ Common side ]Therefore, by SAS congruence condition ∆ABD≅∆CBD

Checking the congruency:
In $∆ A B D$ and $∆ C B D$ ,
$A B = C B$ [ Each side $6 c m$ ]
$∠ A B D = ∠ C B D$ [ Each angle $20 °$ ]
$B D = B D$ [ Common side ]
Therefore, by SAS congruence condition $∆ A B D ≅ ∆ C B D$