Question

What postulate proves the triangles are congruent?

Answer 1

We have 2 triangles with 2 corresponding congruent angles angles, then their 3d corresponding angles are going to be congruent also.

We have corresponding sides that are congruent.

So, we got angle 85⁰, side with mark, and angle that we called 3d angle.

So, we need ASA postulate.

Answer 2

Go around the triangles staring with the two angles with the green marks.

Two angles are marked congruent. That is A.

Then two angles are marked 85 deg making them congruent. That is another A.

Finally, two sides are marked congruent. That is S.

Going around the triangles, you have AAS in that order.

Answer: AAS Postulate