Reflex Angle Calculator



A reflex angle is an angle that measures greater than 180 degrees but less than 360 degrees. Measuring reflex angles accurately is vital in multiple applications, such as designing irregular polygons, navigation for large vehicles, or optimizing the positioning of solar panels. The Reflex Angle Calculator simplifies this task by providing a quick and precise method for angle measurement.


The calculation for determining the measure of a reflex angle (R) is straightforward:

R = 360° – θ


  • R is the measure of the reflex angle.
  • θ is the measure of the corresponding acute or obtuse angle.

How to Use?

Using the Reflex Angle Calculator involves a few simple steps:

  1. Input Angle Measurement: Gather the angle measurement you want to convert into a reflex angle. This measurement should be either an acute angle (0-90 degrees) or an obtuse angle (90-180 degrees).
  2. Apply the Formula: Use the formula R = 360° – θ to calculate the reflex angle. Plug in the value of the acute or obtuse angle (θ) you obtained in step 1.
  3. Calculate: Use the calculator to perform the calculation and find the measure of the reflex angle (R).
  4. Interpret the Result: The result will be the measure of the reflex angle corresponding to the input angle.


Let’s illustrate how to use the Reflex Angle Calculator with an example:

Suppose you have an obtuse angle measuring 135 degrees (θ). Using the formula:

R = 360° – θ

R = 360° – 135° = 225°

In this case, the reflex angle corresponding to the obtuse angle of 135 degrees is 225 degrees.


Q1: What are some practical applications of reflex angle measurement? A1: Reflex angles find applications in designing irregular shapes, positioning solar panels for maximum exposure, navigation for large vehicles like ships, and more.

Q2: Can I use this calculator for other angle types? A2: The Reflex Angle Calculator is designed specifically for reflex angles. To calculate other types of angles, you would need different formulas or calculators.

Q3: What is the significance of reflex angles in geometry? A3: Reflex angles are important in geometry as they complete a full rotation (360 degrees) around a point. They are often used to calculate the exterior angles of polygons.


The Reflex Angle Calculator simplifies the task of measuring reflex angles, providing accuracy and efficiency in various applications where such measurements are crucial. Whether you are an architect designing complex shapes or a navigator determining the course for a large vessel, understanding and using this calculator can significantly enhance your precision and decision-making. In a world where accuracy and efficiency are paramount, the Reflex Angle Calculator stands as a valuable tool, enabling professionals across different fields to master the measurement of these unique angles.

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