Calculate a linear pair angle, verify supplementary or complementary pairs, solve angle expressions, and convert degrees, radians, or gradians.

A linear pair must also be adjacent with its outer rays forming a straight line.

Related Calculators

Linear Pair Angle Formula

The following formula is used to calculate the other angle in a linear pair.

Aโ‚‚ = 180 - Aโ‚

Variables:

  • A1 is the first angle in degrees
  • A2 is the second angle in degrees

To calculate the other angle in a linear pair, subtract the given angle from 180 degrees.

What is a Linear Pair?

A linear pair consists of two adjacent angles whose non-common sides are opposite rays forming a straight line. The angles in a linear pair are supplementary, meaning their measures add up to 180 degrees. Linear pairs are commonly encountered in geometry and are used to solve various problems involving angles and lines.

How to Calculate Linear Pair Angles?

The following steps outline how to calculate the angles in a linear pair.

  1. First, determine the measure of one of the angles (A1).
  2. Next, use the formula A2 = 180 – A1 to calculate the measure of the other angle (A2).
  3. Finally, verify that the sum of the two angles is 180 degrees.
  4. After inserting the values and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Angle 1 (A1) = 70 degrees

Angle 2 (A2) = 110 degrees