Discovering the Different Types of Angles: A Comprehensive Guide

Angles are geometric figures formed by two rays or line segments that share a common endpoint, known as the vertex. Angles are classified based on their measurements or characteristics. Here are some common types of angles:

1. Acute Angle

An acute angle is an angle that measures less than 90 degrees. It is a small angle that appears sharp or narrow.

2. Right Angle

A right angle is an angle that measures exactly 90 degrees. It forms a perfect L shape, with one ray perpendicular to the other.

3. Obtuse Angle

An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. It is a larger angle that appears open or wide.

4. Straight Angle

A straight angle is an angle that measures exactly 180 degrees. It forms a straight line, with the two rays pointing in opposite directions.

5. Reflex Angle

A reflex angle is an angle that measures greater than 180 degrees but less than 360 degrees. It is an angle that extends beyond a straight angle.

6. Complementary Angles

Complementary angles are two angles whose sum is exactly 90 degrees. When placed side by side, they form a right angle.

7. Supplementary Angles

Supplementary angles are two angles whose sum is exactly 180 degrees. When placed side by side, they form a straight angle.

8. Vertical Angles

Vertical angles are a pair of angles formed by two intersecting lines. They are opposite each other and have equal measures.

9. Adjacent Angles

Adjacent angles are two angles that share a common vertex and a common side. They do not overlap but are next to each other.

10. Alternate Interior Angles

Alternate interior angles are a pair of angles formed by a transversal intersecting two parallel lines. They are on opposite sides of the transversal and on the inside of the parallel lines.

These are just a few examples of angles commonly encountered in geometry. Understanding the characteristics and properties of angles is important in various mathematical and geometric applications.