Geometry Building Blocks: Angles

Related Topics:
More Lessons for High School Geometry
Types of Angles
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A series of free, online High School Geometry Video Lessons and solutions.
Videos, worksheets, and activities to help Geometry students.

In this lesson, we will learn

  • types of angles and how to label angles
  • how to use a protractor to measure angles
  • what is an angle bisector and how to construct an angle bisector
  • how to identify and remember complementary and supplementary angles

Angles: Types and Labeling

There are four types of angles: acute, right, obtuse, and straight. Each name indicates a specific range of degree measurements. Congruent angles have equivalent measures. Adjacent angles share a vertex and a common side.
How to label an angle and how to differentiate between acute, right, obtuse, and straight angles.

Using a Protractor

In Geometry, it is important to know how to measure an angle. Using a protractor helps us determine the angle measurement so we can label it as acute, right or obtuse. Every protractor is a little bit different, but all will have a location on the bottom edge where we align the vertex of the angle we are measuring. After lining up the vertex, we line up the bottom edge of the protractor with one side of the angle and use the marks on the top to measure.
Using a Protractor

How to use a protractor to measure an angle?

Angle Bisectors

An angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles. To construct an angle bisector you need a compass and straightedge. Bisectors are very important in identifying corresponding parts of similar triangles and in solving proofs.
How to label an angle bisector; how to use an angle bisector to find a missing variable.

This video shows how to construct an angle bisector

Supplementary and Complementary Angles

Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees. Supplementary and complementary angles do not have to be adjacent (sharing a vertex and side, or next to), but they can be.
How to identify supplementary and complementary angles.

How to remember complementary and supplementary angles?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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