Exploring Angles in Polygons

The video tutorial by Mr. Ro covers the basics of polygons, focusing on the calculation of interior and exterior angles. It explains how to determine the sum of interior angles using the number of triangles that can be formed within a polygon. The tutorial also covers regular polygons, where all sides and angles are congruent, and provides formulas for calculating individual interior angles. Additionally, it discusses the concept of exterior angles, emphasizing that their sum is always 360 degrees, regardless of the number of sides.

What defines a polygon?

• A shape with curved sides

• A closed figure formed by three or more line segments

• A figure with only two sides

• An open figure with multiple angles

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

• Number of triangles times 180

• Number of sides minus two times 180

• Number of sides times 180

• Number of sides plus two times 180

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

• 360 degrees

• 540 degrees

• 720 degrees

• 180 degrees

If a polygon has 15 sides, what is the sum of its interior angles?

• 2700 degrees

• 2340 degrees

• 1800 degrees

• 3600 degrees

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

• 2 * (Number of sides - 180)

• (Number of sides + 2) * 180

• Number of sides * 180

• (Number of sides - 2) * 180

How many degrees is each interior angle of a regular pentagon?

• 120 degrees

• 150 degrees

• 108 degrees

• 135 degrees

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

• 360 degrees

• 720 degrees

• 180 degrees

• 540 degrees

What property do all exterior angles of any polygon share?

• They sum up to 180 degrees

• They sum up to 360 degrees

• They are all acute angles

• They are all obtuse angles

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

• 60 degrees

• 30 degrees

• 90 degrees

• 120 degrees

How is the measure of each exterior angle of a 24-sided polygon calculated?

• 25 degrees

• 10 degrees

• 15 degrees

• 20 degrees