To solve for $x$ in this triangle, let’s analyze the information provided.

1. Understanding the Exterior Angle:

   • In this triangle $\triangle XYW$, the exterior angle at $Y$, labeled as $x$, is equal to the sum of the two opposite interior angles.
   • The interior angles opposite to $x$ are $60^\circ$ at $X$ and $60^\circ$ at $W$.

2. Applying the Exterior Angle Theorem:

   • According to the exterior angle theorem: $x = 60^\circ + 60^\circ$
   • Simplifying this, we get: $x = 120^\circ$

Therefore, the solution is: $x = 120^\circ$

Would you like more details or have any questions?

Related Questions

1. How is the exterior angle theorem applied in other polygons?
2. What are other ways to calculate exterior angles of triangles?
3. Can this approach be applied to non-equilateral triangles?
4. What properties of equilateral triangles make angle calculations easier?
5. How does the sum of interior angles of triangles relate to exterior angles?

Tip

Remember that for any triangle, an exterior angle is always equal to the sum of the two non-adjacent interior angles.