Math Example--Angle Concepts--Angle Measures: Example 10

Topic

Geometry

Description

This example presents an obtuse angle of 150 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 students understand the upper range of obtuse angles. The use of a polar coordinate system allows students to visualize how angles close to 180 degrees appear and relate to the coordinate axes.

Exposure to multiple examples of obtuse angles with varying measures reinforces the concept and helps students develop an intuitive understanding of angle classification. This repetition is key to mastering angle identification skills.

Teacher Script: "Now, class, let's look at this 150-degree angle. How does it compare to the other obtuse angles we've seen? Notice how close it is to forming a straight line. Can anyone explain why this is still classified as an obtuse angle and not a straight angle? Think about the exact measure that separates obtuse angles from straight angles."

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