1. The problem is to understand and analyze a pentagon, a five-sided polygon. 2. A pentagon has 5 sides and 5 interior angles. 3. The sum of the interior angles of any polygon is given by the formula $$180^\circ \times (n-2)$$ where $n$ is the number of sides. 4. For a pentagon, $n=5$, so the sum of interior angles is $$180^\circ \times (5-2) = 180^\circ \times 3 = 540^\circ$$. 5. This means all interior angles of a pentagon add up to $540^\circ$. 6. If the pentagon is regular (all sides and angles equal), each interior angle is $$\frac{540^\circ}{5} = 108^\circ$$. 7. This knowledge helps in solving problems related to pentagons, such as finding missing angles or side lengths if additional information is given.