Exploring Interior and Exterior Angles of Polygons

What defines a polygon?

• A shape with any number of sides

• A closed figure formed by three or more line segments

• A figure with curved sides

• Any three-dimensional object

Tags

CCSS.2.G.A.1

How is the sum of the interior angles of a polygon calculated?

• Sum of angles of all triangles within the polygon

• 180 times (number of sides - 2)

• 360 divided by the number of sides

• 180 times the number of sides

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

• 540 degrees

• 720 degrees

• 180 degrees

• 360 degrees

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

• 1800 degrees

• 1440 degrees

• 1080 degrees

• 360 degrees

How many triangles can be formed in a heptagon?

• Five

• Seven

• Six

• Four

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

• The number of sides minus two times 180

• The number of sides times 180

• 360 degrees

• 180 degrees

How do you find an individual exterior angle of a polygon?

• 360 divided by the number of sides

• 180 minus the adjacent interior angle

• 180 plus the adjacent interior angle

• Sum of all interior angles divided by the number of sides

What is the exterior angle of a triangle with an interior angle of 79 degrees?

• 101 degrees

• 180 degrees

• 99 degrees

• 79 degrees

Tags

CCSS.8.G.A.5

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

• 180 times (number of sides - 2)

• Number of sides times 180

• Sum of angles of all triangles within the polygon

• 360 times (number of sides - 2)

What should students prepare for the next class?

• None of the above

• Sum of exterior angles for various polygons

• Sum of interior angles using the learned formula

• Both sum of interior and exterior angles