\boxed{30^\circ, 90^\circ, 150^\circ, 270^\circ}

Wed, 06 May 2026 19:17:51 +0000

Understanding Key Angles: 30°, 90°, 150°, and 270° – Their Significance in Math, Design, and Beyond Angles are fundamental geometric concepts that play a vital role in mathematics, engineering, architecture, design, and even art. Among the most common and visually intuitive angles are 30°, 90°, 150°, and 270°. Each of these specific angles holds unique properties and applications across various fields. In this article, we explore their geometric significance, real-world uses, and why mastering these angles is essential. ### What Are These Angles? - 30°
The 30° angle is one of the angles in an equilateral triangle, where all sides are equal and all internal angles measure 60°. As a fraction of a full circle (360°), 30° represents one twelfth of a rotation. It’s a key angle in trigonometry and appears frequently in navigation, design, and construction.