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In the given figure ∠ABC = ∠ABD, BC = 30 then, ∆ CAB ≅\cong≅​ ∆ -------
Question

In the given figure ∠ABC = ∠ABD, BC = 30 then, ∆ CAB \cong​ ∆ -------

A.

DBA

B.

DAB

C.

ADB

D.

ABD

Correct option is B

Given: 
∠ABC = ∠ABD,
BC = 30 
Concept Used: 
Two triangle are congruent by SAS ( Side - angle - side);
if there two respective side, and respective angles between them is equal to each other,
Solution: 
From the figure ;
​∠ABC = ∠ABD (given)
BC = BD ( from figure)
AB = AB ( common side) 
Hence, CABDAB\triangle CAB \cong \triangle DAB ( SAS congruency) ​

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