Exploring Interior and Exterior Angles of Polygons

The video tutorial covers the properties of polygons, focusing on calculating interior and exterior angle sums. It explains how to find unknown angles using given formulas and classifies polygons based on their sides and angles. The tutorial also includes problem-solving exercises to reinforce understanding of these geometric concepts.

How many sides does a heptagon have?

• 8

• 7

• 6

• 5

What is the sum of interior angles of an octagon?

• 720 degrees

• 1440 degrees

• 1080 degrees

• 900 degrees

What type of polygon is a decagon?

• 12-sided

• 9-sided

• 11-sided

• 10-sided

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

• 2520 degrees

• 2340 degrees

• 2160 degrees

• 1800 degrees

How many triangles can be formed in a 20-sided polygon?

• 22

• 18

• 24

• 20

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

• 450 degrees

• 270 degrees

• 360 degrees

• 180 degrees

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

• 120 degrees

• 130 degrees

• 150 degrees

• 140 degrees

If a regular polygon's interior angle is 135 degrees, how many sides does it have?

• 8

• 11

• 9

• 10

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

• 30 degrees

• 40 degrees

• 45 degrees

• 35 degrees

Which polygon is described as having sides all of equal length and all angles of equal measure?

• Regular polygon

• Convex polygon

• Concave polygon

• Irregular polygon