State, true or false :
All equiangular triangles are similar. 

Answer

**Step-by-Step Solution:**

1. **Understanding Equiangular Triangles**:
- Equiangular triangles are defined as triangles in which all three angles are equal. In the case of triangles, if all angles are equal, each angle measures 60 degrees.

2. **Identifying the Type of Equiangular Triangle**:
- An equiangular triangle is also known as an equilateral triangle because, in addition to having equal angles, all sides of the triangle are also equal in length.

3. **Understanding Similarity in Triangles**:
- Two triangles are said to be similar if their corresponding angles are equal and the sides are in proportion. In the case of equiangular triangles, since all angles are equal (60 degrees), they meet the condition for similarity.

4. **Conclusion**:
- Since all equiangular triangles have the same angle measures, they are similar to each other regardless of their size. Therefore, the statement "All equiangular triangles are similar" is true.

**Final Answer**: True

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