1. The problem is to verify the angles of a triangle and understand their sum. 2. The sum of the interior angles of any triangle is always given by the formula: $$\text{Sum of angles} = 180^\circ$$ 3. Given the angles are $110^\circ$, $35^\circ$, and $35^\circ$. 4. Add the angles to check if they sum to $180^\circ$: $$110^\circ + 35^\circ + 35^\circ = 180^\circ$$ 5. Since the sum is exactly $180^\circ$, these angles form a valid triangle. 6. This triangle is isosceles because it has two equal angles of $35^\circ$. 7. Understanding that the sum of angles in a triangle is always $180^\circ$ helps in solving many geometry problems.