The statement provided in the image is:

"If two angles of a triangle are congruent, then the sides opposite those angles are congruent."

This statement is True.

In triangle geometry, if two angles of a triangle are congruent (of equal measure), it implies that the triangle is isosceles. By the properties of isosceles triangles, the sides opposite the congruent angles are also congruent. This is a direct application of the Isosceles Triangle Theorem which states that if two angles of a triangle are equal, then the sides opposite those angles are also equal.

Would you like more details on this or have any other questions? Here are some related topics you might find interesting:

1. What is the Isosceles Triangle Theorem?
2. How do you prove that two sides are congruent if their opposite angles are congruent?
3. Can this property apply to scalene triangles?
4. How does the property of congruent sides and angles relate to equilateral triangles?
5. Are there any exceptions to this rule in non-Euclidean geometries?

Tip: When dealing with triangle properties, drawing a diagram can greatly help in visualizing and understanding the relationships between angles and sides.