Learn to find the number of sides of a regular polygon when given one exterior angle

The video tutorial explains how to determine the number of sides of a regular polygon when given one exterior angle, specifically 30 degrees. Initially, it mentions a method involving finding the interior angle, but then introduces a simpler approach. This method involves dividing the total sum of exterior angles, 360 degrees, by the given exterior angle, 30 degrees, to find the number of sides, which results in a 12-sided polygon. The tutorial concludes by confirming that all exterior angles are equal in a regular polygon.

What is the problem introduced in the video regarding polygons?

• Finding the area of a polygon

• Calculating the perimeter of a polygon

• Determining the number of sides from an exterior angle

• Identifying the type of polygon

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

• 720 degrees

• 540 degrees

• 360 degrees

• 180 degrees

In a regular polygon, how are the exterior angles related?

• They are all different

• They are all equal

• They sum up to 180 degrees

• They are half of the interior angles

How do you calculate the number of sides of a polygon if one exterior angle is given?

• Subtract the exterior angle from 360

• Divide 360 by the exterior angle

• Add the exterior angle to 360

• Multiply the exterior angle by 360

What is the number of sides of a polygon if one exterior angle is 30 degrees?

• 8

• 12

• 6

• 10