Reflex Angle PNG Images Transparent Background

A reflex angle is an angle that measures greater than 180 degrees and less than 360 degrees. The term reflex refers to the angle being bent or turned beyond the usual measure of 180 degrees. This means that a reflex angle is an angle that is larger than a straight angle and smaller than a full rotation.

It is important to note that a reflex angle is not commonly used in everyday applications, and it is often found in geometry and trigonometry. However, understanding reflex angles and their properties is important for the study of angles and shapes.

Properties of Reflex Angles

Reflex angles have several distinct properties that set them apart from other types of angles. Here are some of the important properties of reflex angles:

• They measure more than 180 degrees and less than 360 degrees.
• They have an interior angle of less than 180 degrees.
• They have an exterior angle of more than 180 degrees.
• They are commonly found in polygons with more than five sides.
• The sum of the interior angles of a polygon with n sides is equal to (n-2) x 180 degrees. Therefore, the sum of the interior angles of a polygon with a reflex angle is less than (n-2) x 180 degrees.

Examples of Reflex Angles

There are many examples of reflex angles in real-world applications. Some of the most common examples include:

• Star-shaped polygons
• Letter “V” shape
• Broken or irregular shapes
• Horseshoe shapes
• The angle between the hour and minute hands on a clock when it is between 3 and 6 o’clock

Reflex angles are an important concept in geometry and trigonometry. They are angles that measure more than 180 degrees and less than 360 degrees and have distinct properties that set them apart from other types of angles. Understanding reflex angles is essential for the study of angles and shapes, and they can be found in many real-world applications.