Interior Angles of Polygons

This video tutorial explains how to determine the sum of interior angles in polygons. It begins by discussing known sums for triangles and squares, then introduces a formula for calculating the sum of interior angles for any polygon. The formula is applied to various polygons, including pentagons. The video also distinguishes between regular and irregular polygons, explaining how the formula applies differently to each. Regular polygons have equal angles, while irregular ones do not, affecting how individual angles are calculated.

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

• 360°

• 90°

• 180°

• 270°

How many degrees are the interior angles of a square in total?

• 180°

• 270°

• 360°

• 450°

What is the formula to calculate the sum of the interior angles of a polygon?

• (n - 2) * 180

• (n - 2) * 90

• n * 180

• n * 90

What does 'n' represent in the formula (n - 2) * 180?

• The number of angles

• The number of sides

• The number of vertices

• The number of diagonals

Using the formula, what is the sum of the interior angles of a pentagon?

• 450°

• 360°

• 600°

• 540°

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

• 360°

• 600°

• 450°

• 540°

If a pentagon is regular, what is the measure of each interior angle?

• 120°

• 108°

• 100°

• 90°

What does 'regular' mean in the context of polygons?

• All sides and angles are equal

• All sides are equal but angles are different

• Sides and angles are different

• All angles are equal but sides are different

Can you determine the individual angles of an irregular polygon using the same method as a regular polygon?

• Yes, always

• Only if it has an odd number of sides

• No, never

• Only if it has an even number of sides

What is the sum of the interior angles of an irregular pentagon?

• 360°

• 600°

• 450°

• 540°