1. What is a Reflex Angle?

A reflex angle is any angle greater than 180° and less than 360°. It is the larger angle formed when two lines meet, complementing the smaller acute or obtuse angle to form a complete circle of 360°.

2. How Does the Calculator Work?

The calculator uses the reflex angle formula:

Where:

• \( \theta \) — Given angle in degrees (between 0° and 360°)
• Reflex — The complementary reflex angle

Explanation: The reflex angle is calculated by subtracting the given angle from 360 degrees, which represents a full circle.

3. Importance of Reflex Angle Calculation

Details: Reflex angles are important in geometry, navigation, engineering, and various practical applications where angular measurements beyond 180 degrees are required.

4. Using the Calculator

Tips: Enter the angle θ in degrees (0-360). The calculator will compute the corresponding reflex angle (360 - θ).

5. Frequently Asked Questions (FAQ)

Q1: What is the range of reflex angles?
A: Reflex angles range from greater than 180° to less than 360°.

Q2: Can a reflex angle be negative?
A: No, reflex angles are always positive and between 180° and 360°.

Q3: What is the reflex angle of 90 degrees?
A: 270 degrees (360 - 90 = 270).

Q4: How are reflex angles used in real life?
A: Used in navigation, robotics, game development, and various engineering applications where full rotational measurements are needed.

Q5: What's the difference between reflex and obtuse angles?
A: Obtuse angles are between 90° and 180°, while reflex angles are between 180° and 360°.