Polygon Angles and Properties

The video tutorial explains the concept of exterior angles in polygons, emphasizing that the sum of these angles is always 360 degrees, regardless of the shape. It demonstrates how to calculate the size of exterior angles in regular polygons, such as pentagons and octagons, by dividing 360 by the number of sides. The tutorial also covers how to find interior angles by subtracting the exterior angle from 180 degrees. Finally, it shows how to determine the number of sides in a regular polygon when given an exterior angle.

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

• 540 degrees

• 720 degrees

• 360 degrees

• 180 degrees

If a polygon is regular, what can be said about its exterior angles?

• They are all zero

• They add up to 180 degrees

• They are all equal

• They are all different

How many sides does a pentagon have?

• 4

• 3

• 6

• 5

What is the exterior angle of a regular pentagon?

• 108 degrees

• 90 degrees

• 72 degrees

• 60 degrees

What is the formula to find the exterior angle of a regular polygon?

• 180 minus the number of sides

• 360 minus the number of sides

• 180 divided by the number of sides

• 360 divided by the number of sides

How many sides does an octagon have?

• 9

• 8

• 7

• 6

What is the exterior angle of a regular octagon?

• 50 degrees

• 30 degrees

• 40 degrees

• 45 degrees

What is the relationship between interior and exterior angles in a polygon?

• They are complementary

• They are equal

• They add up to 180 degrees

• They add up to 90 degrees

How do you calculate the interior angle of a regular octagon?

• Divide the exterior angle by 2

• Subtract the exterior angle from 180 degrees

• Add the exterior angle to 180 degrees

• Multiply the exterior angle by 2

What is the interior angle of a regular octagon?

• 130 degrees

• 120 degrees

• 135 degrees

• 140 degrees