Properties of Polygons and Angles

This video tutorial introduces the CUDA software and a worksheet on polygons and angles. It explains how to calculate the measure of one interior angle in regular polygons using a specific formula. The video provides detailed examples for various polygons, including pentagons, octagons, and more complex shapes like 24-gons and 23-gons. Each example involves applying the formula to find the angle measure, demonstrating the process step-by-step. The tutorial concludes with a preview of the next video, which will cover additional examples.

What is the main topic discussed in this video?

• Finding the measure of one interior angle in regular polygons

• Finding the perimeter of polygons

• Understanding the properties of irregular polygons

• Calculating the area of polygons

Which formula is used to find one interior angle of a regular polygon?

• (n - 2) * 180 / n

• n * 360 / (n - 2)

• (n + 2) * 180 / n

• n * 180 / (n - 2)

How many sides does a pentagon have?

• 5

• 4

• 7

• 6

What is the measure of one interior angle in a regular pentagon?

• 108 degrees

• 135 degrees

• 90 degrees

• 120 degrees

How many sides does an octagon have?

• 7

• 9

• 6

• 8

What is the measure of one interior angle in a regular octagon?

• 120 degrees

• 135 degrees

• 150 degrees

• 165 degrees

How many sides does an 11-sided polygon have?

• 9

• 11

• 10

• 12

What is the measure of one interior angle in a regular 11-sided polygon?

• 157.5 degrees

• 150 degrees

• 147.3 degrees

• 140 degrees

How many sides does a hexagon have?

• 5

• 6

• 7

• 8

What is the measure of one interior angle in a regular hexagon?

• 135 degrees

• 120 degrees

• 108 degrees

• 90 degrees