Question

If two sides of a triangle are congruent, then are the angles opposite those sides always, sometimes or never congruent?

Answer 1

Yes, the angles opposite those sides are always congruent.

Explanation:

If two sides of the triangle are congruent, then the triangle is isosceles, so the angles at the third side (base) are congruent. If the triangle is not only isosceles but equilateral the third angle is also congruent.