15^\circ + 195^\circ + 165^\circ + 345^\circ = 720^\circ

Sun, 03 May 2026 13:58:43 +0000

Understanding Angle Addition: Why 15° + 195° + 165° + 345° = 720° Angles are fundamental to geometry, trigonometry, and many real-world applications like architecture, engineering, and computer graphics. Sometimes, adding seemingly large or unusual angles like 15°, 195°, 165°, and 345° may seem challenging. However, when broken down correctly, their sum equals exactly 720°—a full circle expanded to two revolutions. In this article, we explore how this equation works, the mathematical principles behind it, and why mastering such angle relationships is essential for students, educators, and professionals alike. --- ### What Is 720°?