Which of the following congruency rule satisfies congruency of both given triangles using given information only?

AAS

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ASA

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SAS

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None

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Solution

The correct option is A AAS
In the figure given, we see that two adjacent angles of one triangle are equal to the corresponding angles of other triangle and the non-included side of one triangle is equal to that of other triangle.

Hence the triangles are congruent by AAS postulate (Angle-Angle Side).
Hence, option $(a)$ correct.

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