Reflex Angle

A reflex angle is an angle that measures greater than 180 degrees and less than 360 degrees. It is formed when the measure of an angle is more than a straight angle (180°) but less than a full rotation (360°).

Characteristics of Reflex Angles:

• Measures greater than 180 degrees
• Measures less than 360 degrees
• Forms a part of a full rotation
• Can be represented as n * 360° + x, where n is an integer and x is the angle measure between 180° and 360°

Examples of Reflex Angles:

1. A typical reflex angle can be represented as 250°, as it is greater than 180° but less than 360°.

2. Another example is 300°, which also falls within the range of reflex angles.

Measuring Reflex Angles:

To measure a reflex angle, start from the initial side of the angle and rotate in the given direction until the terminal side is reached. Then, count the degrees between the initial and terminal sides to determine the measure of the reflex angle.

Properties of Reflex Angles:

• Reflex angles are supplementary to their corresponding acute or obtuse angles, meaning the sum of a reflex angle and its corresponding acute or obtuse angle is 360°.
• Reflex angles form a part of a full rotation, and their measures can be represented as multiples of 360° plus the angle measure within the range of 180° to 360°.

Study Guide:

To understand and work with reflex angles, it is important to practice the following concepts:

1. Identifying reflex angles in geometric figures and diagrams
2. Measuring reflex angles using a protractor
3. Understanding the relationship between reflex angles and their corresponding acute or obtuse angles
4. Solving problems involving reflex angles in real-world situations

Mastering the concept of reflex angles will help in understanding more advanced geometry topics and applications in various fields.

Hope this study guide helps you in understanding the concept of reflex angles!