Math Example--Angle Concepts--Angle Measures: Example 9

Topic

Geometry

Description

This example showcases an obtuse angle of 135 degrees on a polar coordinate grid. The angle is marked in red, and students are asked to identify 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 series on angle measures, this example helps students understand the range of obtuse angles. The use of a polar coordinate system allows students to visualize how angles relate to the coordinate axes and reinforces their understanding of angle classification.

Presenting multiple examples of obtuse angles with different measures helps students develop a nuanced understanding of the concept. This repetition is crucial for building confidence in angle identification and classification.

Teacher Script: "Let's examine this 135-degree angle, class. How does it compare to the previous obtuse angles we've seen? Notice how it's exactly halfway between 90 degrees and 180 degrees. Why is this significant? Can anyone think of a real-world example where we might encounter a 135-degree angle?"

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