Exploring Interior and Exterior Angles of Polygons

The video tutorial covers the properties of polygons, focusing on calculating the sum of interior and exterior angles. It explains how to determine the sum of interior angles by dividing polygons into triangles and introduces a formula for regular polygons. The tutorial also highlights the consistent sum of exterior angles across all polygons. Practical problems are provided to reinforce understanding, and key formulas are summarized for easy reference.

What is the sum of interior angles of a triangle?

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

How many triangles can be drawn inside a hexagon to calculate its interior angles?

• 4 triangles

• 6 triangles

• 3 triangles

• 5 triangles

What is the sum of interior angles for a polygon with 7 sides?

• 900 degrees

• 720 degrees

• 1080 degrees

• 540 degrees

What defines a regular polygon?

• All sides and angles are congruent

• All sides are of different lengths

• All angles are acute

• All sides are parallel

How do you calculate the measure of each interior angle of a regular pentagon?

• Divide the sum of all angles by 5

• Multiply the number of sides by 180

• Add up all exterior angles and divide by 5

• Subtract 180 from the sum of angles and divide by 5

What is the sum of exterior angles for any polygon?

• 720 degrees

• 540 degrees

• 180 degrees

• 360 degrees

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

• 30 degrees

• 120 degrees

• 90 degrees

• 60 degrees

If the exterior angle of a regular polygon is 15 degrees, how many sides does the polygon have?

• 24 sides

• 12 sides

• 8 sides

• 20 sides

Using the formula for the sum of interior angles, calculate the sum for a 15-sided polygon.

• 2340 degrees

• 2160 degrees

• 1800 degrees

• 1980 degrees

How many sides does a polygon have if one exterior angle measures 12 degrees?

• 30 sides

• 24 sides

• 15 sides

• 20 sides