Which of the following is always true about the angles of an isosceles triangle?

• A. Two angles are always $\cong$ congruent.
• B. All three angles are always equal.
• C. There is always a right angle.
• D. No two angles can be equal.

Answer: (A)

Verified step by step guidance

1. Recall the definition of an isosceles triangle: it is a triangle with at least two sides of equal length.
2. Understand that in any triangle, the angles opposite equal sides are themselves equal. This is a fundamental property of isosceles triangles.
3. Use the Isosceles Triangle Theorem, which states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.
4. Recognize that this means exactly two angles in an isosceles triangle are always congruent, but the third angle can be different.
5. Conclude that the statement 'Two angles are always congruent' is always true for isosceles triangles, while the other options are not necessarily true.