Understanding Exterior Angles of Polygons

The video tutorial introduces the concept of exterior angles in polygons, focusing on regular polygons. It explains the formula for calculating exterior angles, which is 360 degrees divided by the number of sides. The tutorial also explores the relationship between exterior and interior angles, using examples of regular and irregular polygons. The video concludes with practical applications of these concepts.

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

• 360 degrees divided by the number of sides

• 180 degrees divided by the number of sides

• The sum of all interior angles

• The sum of all exterior angles

If a regular pentagon has an exterior angle of 72 degrees, how many sides does it have?

• 6

• 8

• 5

• 4

In a non-regular triangle, if one interior angle is 20 degrees, what is the measure of its corresponding exterior angle?

• 160 degrees

• 200 degrees

• 140 degrees

• 180 degrees

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

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees

If an interior angle of a triangle is 145 degrees, what is the measure of its exterior angle?

• 35 degrees

• 45 degrees

• 65 degrees

• 55 degrees

How do you find the interior angle of a regular polygon if you know the exterior angle?

• Multiply the exterior angle by the number of sides

• Divide the exterior angle by the number of sides

• Add the exterior angle to 180 degrees

• Subtract the exterior angle from 180 degrees

If the exterior angle of a regular polygon is 72 degrees, what is the measure of its interior angle?

• 120 degrees

• 90 degrees

• 108 degrees

• 72 degrees

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

• They are equal

• They add up to 180 degrees

• They add up to 90 degrees

• They are complementary

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

• 180 degrees

• 270 degrees

• 360 degrees

• 450 degrees

Why is it important to understand the relationship between interior and exterior angles?

• To calculate the area of polygons

• To find the perimeter of polygons

• To solve problems involving angles in polygons

• To determine the type of polygon