1. The problem is to find the values of angles that sum to 180 degrees. 2. The key formula is that the sum of angles in a triangle is always $$180^\circ$$. 3. If you have two angles, say $x$ and $y$, their sum is $$x + y = 180^\circ$$. 4. To find one angle if the other is known, use $$y = 180^\circ - x$$. 5. For example, if $x = 70^\circ$, then $$y = 180^\circ - 70^\circ = 110^\circ$$. 6. This means the two angles are $70^\circ$ and $110^\circ$, which add up to $180^\circ$. 7. This rule applies to any pair of angles that form a straight line or are supplementary.