Math Example--Angle Concepts--Angle Measures: Example 7

Topic

Geometry

Description

This example presents an obtuse angle on a polar coordinate grid. The angle is marked at 105 degrees and highlighted in red. Students are asked to identify the angle, with the solution explaining that it is an obtuse angle because its measure is greater than 90 degrees but less than 180 degrees.

This example is part of a series that helps students understand different angle classifications. By using a polar coordinate system, students can visualize how angles greater than 90 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 a intuitive understanding of angle classification. This repetition is key to mastering angle identification skills.

Teacher Script: "Let's examine this angle, class. Notice how it's wider than a right angle but doesn't form a straight line. This is what we call an obtuse angle. Can anyone tell me why this 105-degree angle is classified as obtuse? Remember, we're looking at the relationship between its measure and our benchmark angles of 90 and 180 degrees."

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