1. **Problem Statement:** Determine if triangle BED is equilateral given that angles at B and E are 60° and markings indicate equal sides. 2. **Recall:** An equilateral triangle has all three sides equal and all three angles equal to 60°. 3. **Given:** Angles $\angle B = 60^\circ$ and $\angle E = 60^\circ$. 4. **Calculate the third angle:** $$\angle D = 180^\circ - \angle B - \angle E = 180^\circ - 60^\circ - 60^\circ = 60^\circ$$ 5. **Conclusion on angles:** All angles in triangle BED are 60°, so it is equiangular. 6. **Check sides:** Markings indicate sides opposite these angles are equal, confirming all sides are equal. 7. **Final conclusion:** Triangle BED is equilateral because it has three equal sides and three equal angles of 60° each.