Exploring Interior and Exterior Angles of Polygons

The video tutorial covers the basics of polygon geometry, focusing on interior and exterior angles. It explains how to calculate the sum of interior angles using the formula (n-2)×180, where n is the number of sides. The tutorial also discusses different types of polygons, such as quadrilaterals, pentagons, and hexagons, and their properties. It highlights the consistent sum of exterior angles, which is always 360 degrees, regardless of the polygon's sides. Additionally, the video differentiates between convex and concave polygons and explains the characteristics of regular and irregular polygons.

What is the sum of interior angles of a triangle?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

How many triangles can be formed in a hexagon?

• 4

• 6

• 3

• 5

What is the sum of interior angles for a decagon?

• 1440 degrees

• 1800 degrees

• 360 degrees

• 900 degrees

What defines a regular polygon?

• All angles are 90 degrees

• All sides are parallel

• All sides are equal

• All sides and angles are congruent

What is the sum of exterior angles for any polygon?

• 360 degrees

• 720 degrees

• 90 degrees

• 180 degrees

What is the sum of the interior angles of a polygon with 15 sides?

• 1800 degrees

• 3600 degrees

• 2700 degrees

• 2340 degrees

What type of polygon is defined by having at least one interior angle greater than 180 degrees?

• Irregular polygon

• Regular polygon

• Convex polygon

• Concave polygon

What is the interior angle sum of a nonagon?

• 1260 degrees

• 1620 degrees

• 1080 degrees

• 1800 degrees

Which polygon is described as having all sides and all angles congruent?

• Convex polygon

• Irregular polygon

• Concave polygon

• Regular polygon

What is the measure of an exterior angle of a regular octagon?

• 45 degrees

• 60 degrees

• 30 degrees

• 40 degrees