Exploring Angles in Polygons

The video tutorial covers unit seven, focusing on polygons and quadrilaterals. It begins with an introduction to different types of polygons based on the number of sides, such as triangles, quadrilaterals, pentagons, and hexagons. The tutorial explains how to calculate the sum of interior angles in polygons using a formula. It also discusses regular polygons, where all sides and angles are equal, and how to find the measure of each interior angle. The video concludes with an exploration of exterior angles, demonstrating that the sum of exterior angles in any polygon is always 360 degrees.

What is the term used to describe a four-sided polygon?

• Quadrilateral

• Triangle

• Hexagon

• Pentagon

Tags

CCSS.2.G.A.1

How many sides does a decagon have?

• 12

• 10

• 8

• 7

Tags

CCSS.2.G.A.1

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

• (Number of sides + 2) x 180

• (Number of sides - 2) x 180

• (Number of sides + 2) x 90

• (Number of sides - 2) x 90

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

• 180 degrees

• 360 degrees

• 270 degrees

• 90 degrees

Tags

CCSS.8.G.A.5

How many triangles can be formed inside a hexagon?

• 5

• 4

• 6

• 3

Tags

CCSS.3.G.A.2

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

• 540 degrees

• 360 degrees

• 720 degrees

• 180 degrees

What is the measure of each interior angle in a regular pentagon?

• 150 degrees

• 135 degrees

• 120 degrees

• 108 degrees

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

• 180 degrees

• 720 degrees

• 360 degrees

• 540 degrees

How many sides does a regular polygon have if each exterior angle is 12 degrees?

• 20

• 30

• 24

• 15

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

• 90 degrees

• 60 degrees

• 30 degrees

• 45 degrees