You can
put this solution on YOUR website!right now it looks like it's congruent by AAS which is a theorem you may or may not have already proven.
if you have, then you simply state that the triangles are congruent by AAS (2 angles and a side opposite one of them).
once that's proven, then the third angles are equal and the triangles are again congruent by ASA.
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if that's not proven, then there is a theorem that states that the sum of the angles of a triangle are 180 degrees.
that must have been proven already or you don't have a case.
there is a corollary to that theorem that states that if 2 angles of a triangle are congruent to 2 angles of another triangle, then the third angle must be congruent also.
you would use that corollary to prove that the third angles are congruent and then you can prove that the triangles are congruent by ASA.
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fyi,
the book i am using states the theorem that proves the sum of the angles of a triangle is 180 is theorem 5.2.
the corollary that states that if 2 angles of a triangle are congruent to 2 angles of another triangle, that the 3d angle is congruent also, is called corollary 5.2.4
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hopefully all the books are consistent in their numbering of the theorems and the corollaries.
otherwise there would be chaos.
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