Exterior Angles Of Polygons

This video tutorial explains the concepts of interior and exterior angles in polygons. It begins with an introduction to angles in polygons and references a previous video for further understanding. The tutorial then delves into the nature of exterior angles, explaining their relationship with interior angles. It provides a detailed calculation of angles in a nonagon, demonstrating how to find both interior and exterior angles. The video highlights that the sum of exterior angles in any polygon is always 360 degrees, which is useful for determining the number of sides in a polygon. Key formulas for calculating these angles are summarized, and viewers are encouraged to engage with the content and ask questions.

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

• 720 degrees

• 540 degrees

• 360 degrees

• 180 degrees

How do you calculate the exterior angle of a regular nonagon?

• Subtract the interior angle from 180

• Add the interior angle to 180

• Multiply the number of sides by 180

• Divide 360 by the number of sides

If the exterior angle of a regular polygon is 45 degrees, how many sides does it have?

• 6

• 8

• 12

• 10

What is the formula to find the sum of interior angles of a polygon?

• Number of sides * 360

• (Number of sides + 2) * 180

• Number of sides * 180

• (Number of sides - 2) * 180

What should you check first when calculating angles in polygons?

• The size of the polygon

• The type of angles in the polygon

• Whether the polygon is regular or irregular

• The color of the polygon