volume_mute
Sum of Angles of a Pentagon
publish date: 2026/05/16 08:22:28.558199 UTC
volume_mute
The pentagon below is divided into triangles by drawing diagonals from vertex \(A\).
What is the sum of the angle measures of the pentagon?
Correct Answer
540°
Explanation
The pentagon is divided into 3 triangles. Using the formula: \[S = (n-2) \cdot 180° = (5-2) \cdot 180° = 3 \cdot 180° = 540°\]
Reference
Mathematics for college students