Exploring Interior and Exterior Angles of Polygons

The video tutorial covers the basics of polygons, including their definition, types, and properties. It explains the concept of interior and exterior angles, focusing on how to calculate the sum of interior angles for any polygon using a specific formula. The tutorial also delves into regular polygons, highlighting their unique properties of congruent sides and angles. Additionally, it provides a brief overview of common polygon names and offers practice problems to reinforce the learning objectives.

What defines a polygon?

• A shape with curved lines

• A figure with gaps or holes

• A three-dimensional object

• A figure made up of straight lines connected end to end

Tags

CCSS.2.G.A.1

Which type of polygon has all sides and angles of equal length and measure?

• Concave polygon

• Irregular polygon

• Convex polygon

• Regular polygon

Tags

CCSS.2.G.A.1

What is the formula for calculating the sum of the interior angles of a polygon?

• 360 * (n - 2)

• 360 / n

• 180 * (n - 2)

• 180 * (n + 2)

What is the interior angle sum of a pentagon?

• 360 degrees

• 540 degrees

• 900 degrees

• 720 degrees

How do you calculate the measure of one interior angle of a regular polygon?

• 180 * n

• 360 / n

• (360 * (n - 2)) / n

• (180 * (n - 2)) / n

What is the measure of one interior angle in a regular hexagon?

• 180 degrees

• 150 degrees

• 135 degrees

• 120 degrees

What prefix is used for a nine-sided polygon?

• Deca

• Non

• Penta

• Hexa

Tags

CCSS.2.G.A.1

How many sides does a dodecagon have?

• 12

• 10

• 16

• 14

Tags

CCSS.2.G.A.1

If a polygon has 7 sides, what is the sum of its interior angles?

• 1260 degrees

• 720 degrees

• 1080 degrees

• 900 degrees

Solving for x, if a non-regular hexagon's angles sum up to 720 degrees and one angle is 90 degrees plus x equals 145 degrees, what is x?

• 75

• 55

• 25

• 65