Math Example--Angle Concepts--Angle Measures: Example 11

Topic

Geometry

Description

This example presents an obtuse angle of 165 degrees on a polar coordinate grid. The angle is highlighted in red, with degree markings visible around the circle. Students are asked to identify the angle shown, with the solution explaining that it 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. By using a polar coordinate system, students can 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: "Let's examine this 165-degree angle, class. Notice how close it is to forming a straight line. Can anyone explain why this is still classified as an obtuse angle? How does it compare to the other obtuse angles we've seen? Think about the exact measures that define obtuse angles."

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