Exploring Angles in Polygons

The video tutorial explores the concepts of interior and exterior angles in polygons. It explains how to calculate the sum of interior angles using the formula (n-2)*180, where n is the number of sides. The tutorial also covers regular polygons, where all sides and angles are equal, and demonstrates how to find the measure of one interior angle by dividing the sum by the number of sides. Additionally, it discusses the sum of exterior angles, which is always 360 degrees, and provides examples to reinforce these concepts.

What is the sum of the interior angles of a quadrilateral?

• 360 degrees

• 180 degrees

• 720 degrees

• 540 degrees

If a regular polygon has an interior angle of 135 degrees, how many sides does it have?

• 8

• 7

• 6

• 10

What is the value of one interior angle of a regular octagon?

• 144 degrees

• 108 degrees

• 120 degrees

• 135 degrees

If a regular polygon's interior angle is 120 degrees, how many sides does it have?

• 8

• 7

• 6

• 5

What is the value of one interior angle of a regular decagon?

• 144 degrees

• 135 degrees

• 120 degrees

• 108 degrees

How many exterior angles does a pentagon have?

• 5

• 6

• 4

• 7

What is the sum of the interior angles of a pentagon?

• 540 degrees

• 360 degrees

• 720 degrees

• 900 degrees

What is the sum of the interior angles of a hexagon?

• 720 degrees

• 1080 degrees

• 360 degrees

• 540 degrees

What is the sum of the exterior angles of any polygon?

• 720 degrees

• 180 degrees

• 540 degrees

• 360 degrees

How many sides does a regular polygon have if one exterior angle is 60 degrees?

• 7

• 8

• 6

• 5