Introduction

An angle is formed when two rays meet at a common endpoint called the vertex. Angles are an essential part of geometry and are used in various real-life applications.

Types of Angles

• Acute Angle: An angle that is less than 90°.
• Right Angle: An angle that is exactly 90°.
• Obtuse Angle: An angle that is greater than 90° but less than 180°.
• Straight Angle: An angle that is exactly 180°.
• Reflex Angle: An angle that is greater than 180° but less than 360°.
• Complete Angle: An angle that is exactly 360°.

Measuring Angles

Angles are measured in degrees (°) using a protractor. The protractor has markings from 0° to 180° to help measure angles accurately.

Parts of an Angle

• Arms: The two rays that form the angle.
• Vertex: The common endpoint where the two rays meet.

Pairs of Angles

• Complementary Angles: Two angles whose sum is 90°.
• Supplementary Angles: Two angles whose sum is 180°.
• Adjacent Angles: Two angles that share a common arm and vertex.
• Vertically Opposite Angles: Angles formed when two lines intersect. They are always equal.

Angle Properties

• Angles on a straight line add up to 180°.
• Angles around a point add up to 360°.
• Vertically opposite angles are always equal.

Real-Life Applications of Angles

Angles are used in various fields, including engineering, architecture, art, and sports. For example, architects use angles to design buildings, and athletes use angles to perfect their movements.

Conclusion

Understanding angles is essential in geometry and everyday life. Identifying and measuring different types of angles helps in solving geometric problems efficiently.