Question

If any two angles of a triangle are equal to the corresponding angles and any one of the sides they are congruence to each other ...
please prove AAS congruency ​

Answer 1

Answer:

it is a equilateral triangle

Answer 2

If any 2 angles & a side of one triangle are equal to the corresponding 2 angles & the side of the other triangle. Then both triangles are to be congruent by ASA congruence criterion.

Like: in triangle ABC & triangle XYZ

if <A = <X , <B = < Y & non included sides BC = YZ ( given)

=> tri ABC congruent to tri XYZ

Because, if 2 angles are equal in both the triangles, then their third angle has to be equal by angle sum property of a triangle. So, in the above < C has to be = <Z & the equal sides become included sides.

And the criterion turns into 2 angles & included side ie ASA congruence criterion.

Hence tri ABC is congruent to tri XYZ