Question

If ΔABC and ΔGEF are congruent by the ASA criterion, which pair of angles must be congruent?

Answer 1

The corresponding angles must be congruent.
According to normal conventions, if ABC is congruent to GEF (by whatever justification), then angles A &G must be congruent, B & E must be congruent, and C and F must be congruent.
If the convention is not followed, a diagram with all information is required to find the pairs of congruent angles.

Answer 2

`\angle BAC = \angle EGF\\\angle ABC = \angle GEF\\\angle BCA = \angle EFG`

Explanation:

We are given the following information:

`\triangle ABC \cong \triangle GEF`, by ASA criterion.

ASA criterion is the angle side angle criterion of congruency.

Thus, any two corresponding angles of the given triangle and one pair of corresponding sides of the triangle must be equal to prove congruency by this criterion.

Since, the triangles are congruent all three pairs of corresponding angles of the two triangles are equal and can be written as:

`\angle BAC = \angle EGF\\\angle ABC = \angle GEF\\\angle BCA = \angle EFG`