Math Example--Angle Concepts--Angle Measures: Example 8

Topic

Geometry

Description

This example features an obtuse angle of 120 degrees on a polar coordinate grid. The angle is highlighted in red, and students are tasked with identifying it. The solution explains that this is an obtuse angle because its measure is greater than 90 degrees but less than 180 degrees.

As part of a comprehensive series on angle measures, this example helps reinforce the concept of obtuse angles. By presenting angles on a polar coordinate system, students can visualize how angles relate to the coordinate axes and develop a deeper understanding of angle classification.

Repeated exposure to various obtuse angles helps students internalize the concept and improves their ability to quickly identify angle types. This repetition is essential for building a strong foundation in geometry.

Teacher Script: "Now, class, let's look at this 120-degree angle. How does it compare to the previous example? Notice how it's even wider than the 105-degree angle we just saw. Can someone explain why this is still classified as an obtuse angle? Think about its relationship to 90 degrees and 180 degrees."

For a complete collection of math examples related to Angle Measures click on this link: Math Examples: Angle Measures Collection.