Interior Angles and Polygons

This video tutorial explores the concept of regular polygons, focusing on their congruent interior angles. It explains how to derive a formula for calculating the sum of interior angles in a polygon and how to apply this formula to find the measure of one interior angle. The tutorial also demonstrates creating a table of values for different polygons and discusses practical applications such as tessellations.

What is a regular polygon?

• A polygon with all sides equal but angles different

• A polygon with all angles equal but sides different

• A polygon with neither sides nor angles equal

• A polygon with all sides and angles equal

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

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

What is the purpose of joining a point inside a polygon to its vertices?

• To create a circle

• To form triangles

• To find the area

• To measure the perimeter

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

• Multiply 180 by the number of sides

• Multiply 360 by the number of sides

• Multiply 180 by the number of sides minus 2

• Multiply 360 by the number of sides minus 2

What is the formula for one interior angle of a regular polygon?

• 180(n-2)/n

• 360(n-2)/n

• 180n/2

• 360n/2

What is the significance of the number 360 in the context of polygons?

• It represents the full circle at the center of a polygon

• It is the sum of angles in a quadrilateral

• It is the sum of angles in a triangle

• It is the sum of angles in a pentagon

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

• 90 degrees

• 150 degrees

• 108 degrees

• 120 degrees

Why is it useful to know the table of interior angles for regular polygons?

• To measure the height

• To find the area

• To calculate the perimeter

• To understand tessellations

What is the interior angle of a regular dodecagon?

• 135 degrees

• 120 degrees

• 165 degrees

• 150 degrees

Which polygon has an interior angle of 108 degrees?

• Pentagon

• Square

• Triangle

• Hexagon