Exploring Interior and Exterior Angles of Polygons

This video tutorial covers the basics of polygons, focusing on interior and exterior angles. It introduces polygons as closed figures made of line segments and explains different types like triangles, pentagons, and hexagons. The tutorial provides formulas to calculate the sum of interior angles using 180(n-2) and explains how to find individual angles. It also covers exterior angles, noting that their sum is always 360 degrees, regardless of the number of sides. The video includes examples and practice questions to reinforce understanding.

What defines a polygon?

• A closed figure made up of line segments

• An open figure consisting of angles

• A figure made up of only curved lines

• A shape with curved sides

How do you calculate the sum of the interior angles of a polygon?

• Sum = 360(n-2)

• Sum = 180(n-2)

• Sum = 180n

• Sum = 180(n+2)

What is the sum of the interior angles of an octagon?

• 720 degrees

• 1080 degrees

• 900 degrees

• 360 degrees

How do you find the measure of one interior angle of a pentagon?

• Add 180 to each angle

• Subtract 180 from the total degrees

• Multiply 180 by 5

• Divide the sum of angles by 5

How do you calculate the measure of an individual interior angle of a polygon?

• 180(n-2)/n

• 360/n

• 180n

• 360(n-2)/n

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

• 360 degrees

• 1000 degrees

• The number of sides times 180

• 180 degrees

What is the measure of each exterior angle of a regular hexagon?

• 90 degrees

• 30 degrees

• 60 degrees

• 120 degrees

What property do exterior angles have in relation to their adjacent interior angles?

• They are complementary

• They are supplementary

• They are equal

• They are none of the above

If a regular polygon's exterior angle measures 40 degrees, how many sides does it have?

• 9 sides

• 8 sides

• 12 sides

• 10 sides

What is the measure of each exterior angle of a regular decagon?

• 45 degrees

• 30 degrees

• 60 degrees

• 36 degrees