Reflex Angle

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

Characteristics of Reflex Angles:

• A reflex angle measures between 180 and 360 degrees.
• It is greater than a straight angle (180 degrees).
• It is less than a full rotation (360 degrees).
• It is formed by the combination of two angles whose measures add up to more than 180 degrees.

Examples of Reflex Angles:

Some examples of reflex angles include:

• A clock showing the time 4:30 forms a reflex angle with the minute hand pointing at 6 and the hour hand pointing at 4.
• An open book lying flat on a table forms a reflex angle between its two halves.
• A spinning wheel that has completed more than half a revolution forms a reflex angle with the ground.

How to Measure Reflex Angles:

To measure a reflex angle, start from one side of the angle and measure the amount of rotation to the other side. The measure will be greater than 180 degrees but less than 360 degrees.

Study Guide:

When studying reflex angles, it’s important to remember the following key points:

1. Reflex angles are between 180 and 360 degrees.
2. They are formed by combining two angles that add up to more than 180 degrees.
3. Examples of reflex angles can be found in everyday objects and activities.
4. To measure a reflex angle, start from one side and measure the amount of rotation to the other side.

Understanding reflex angles is important in geometry and can help in identifying and measuring angles in various real-life situations.