is there any congruency rule - AAA(ANGLE ANGLE ANGLE)????

Hi Monika!
No, there is no congruency criterion called AAA (Angle-Angle-Angle) congruency.
This can be explained as,
Here, all the angles of ∆ABC are equal to that of ∆PQR.
But, ∆ABC is not congruent to ∆PQR    [Since they are of different size]
 
But, there is similarity criterion called AAA similarity criterion as you see that the above two triangles are similar.
 
Hope! You got the answer.
Cheers!

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 No, there is no rule such as this. A very good example is of an equilateral triangle. Equilateral triangles can be drawn with many lengths but their angle is always 60 degrees each. So aaa rule doesn't hold. :)

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