Angle Pairs: Types & Concept

Angle Pairs: Types & Concept
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  • 0:03 Complementary Angle Pairs
  • 0:47 Linear Pairs
  • 0:56 Supplementary Angles
  • 1:23 Vertical Angles
  • 2:07 Adjacent Angles
  • 2:19 Lesson Summary
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Lesson Transcript
Instructor: Cathryn Jackson

Cat has taught a variety of subjects, including communications, mathematics, and technology. Cat has a master's degree in education and is currently working on her Ph.D.

There are five major types of angle pairs in geometry. In this lesson, you'll explore the different types of angles and learn the rules of measuring those angles. When you finish the lesson, test your knowledge with a short quiz.

Complementary Angle Pairs

There are five major types of angle pairs in geometry. Let's go through them and learn their rules for measuring.

Complementary angles are very recognizable because you can make an L shape out of the two angle pairs. This is because complementary angles, when added together, form a right angle, or 90 degrees.

Complementary Angles

Here, angle ABC and angle CBD are complementary. But, angles can be complementary even if they aren't sitting right next to one another. Here, angle ABE is 45 degrees and angle CBD is 45 degrees, and together they add up to 90 degrees, which means they're complementary. As long as their measurements add up to 90 degrees, they are complementary angle pairs.

Linear Pairs

Linear pairs are angles that form a straight line. They share a common point, and the lines (or rays) they don't share form a straight line.

Supplementary Angles

Supplementary Angles- Linear and Non-Linear

Supplementary angles are angles that add up to 180 degrees. Angles that are 180 degrees look like a straight line. In the illustration here, you can see that supplementary angles can be linear and non-linear angle pairs. As noted, linear pairs of supplementary angles are connected at a common point to form a straight line. In the case of the non-linear pairs, the angles add up to 180 degrees but aren't connected in a straight line.

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