1. **Stating the problem:** We have a triangle ABE with angles 41° at A, $x^\circ$ at B, and $y^\circ$ at E. We need to find the values of $x$ and $y$. 2. **Formula used:** The sum of interior angles in any triangle is always 180°. So, $$41 + x + y = 180$$ 3. **Important rule:** The sum of angles in a triangle equals 180°. 4. **Intermediate work:** Rearranging the equation, $$x + y = 180 - 41$$ $$x + y = 139$$ 5. **Additional information:** The angles at points F and D (141° and 115°) are external to triangle ABE and do not affect the sum of angles inside triangle ABE. 6. **Conclusion:** Without additional information relating $x$ and $y$, we only know that $$x + y = 139$$ Thus, $x$ and $y$ are complementary angles summing to 139° in triangle ABE.