Interior Angles and Triangles in Polygons

This tutorial explains the concept of internal angles in polygons, starting with the triangle sum theorem, which states that the sum of interior angles in a triangle is always 180 degrees. It then explores quadrilaterals, pentagons, hexagons, and octagons, showing how to calculate their interior angles by dividing them into triangles. A general formula is derived for finding the sum of interior angles in any polygon: (N-2) x 180, where N is the number of sides. The tutorial also covers how to find the measure of one interior angle in a regular polygon by dividing the sum of the interior angles by the number of sides.

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

• 360 degrees

• 180 degrees

• 540 degrees

• 90 degrees

How many triangles can a quadrilateral be divided into?

• Three

• Four

• Two

• One

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

• 360 degrees

• 270 degrees

• 180 degrees

• 450 degrees

How many triangles can be formed in a pentagon?

• Three

• Two

• Five

• Four

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

• 360 degrees

• 540 degrees

• 720 degrees

• 900 degrees

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

• (N-1) x 180

• (N-2) x 180

• N x 180

• (N+2) x 180

How many triangles can be formed in an octagon?

• Four

• Five

• Six

• Seven

What is the measure of one interior angle of a regular octagon?

• 135 degrees

• 120 degrees

• 150 degrees

• 108 degrees

How do you calculate the measure of one interior angle of a regular polygon?

• Subtract 2 from the number of sides

• Multiply the number of sides by 180

• Add 180 to the number of sides

• Divide the sum of interior angles by the number of sides

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

• 100 degrees

• 110 degrees

• 120 degrees

• 130 degrees