Finding the sum and measure of an interior angle for a regular pentagon

The video tutorial explains how to calculate the sum of interior angles in a pentagon, differentiating between regular and irregular pentagons. It introduces the formula S = (n-2) * 180 degrees for any polygon and applies it to a pentagon with five sides, resulting in a sum of 540 degrees. The tutorial further explains how to find the measure of one interior angle in a regular pentagon by dividing the sum by the number of sides, resulting in 108 degrees per angle.

What is a key characteristic of a regular pentagon?

• It has six sides

• All angles are right angles

• All sides are different

• All sides and angles are equal

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

• S = (n + 2) * 180

• S = n + 180

• S = (n - 2) * 180

• S = n * 180

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

• 360 degrees

• 540 degrees

• 720 degrees

• 180 degrees

How do you find the measure of one interior angle in a regular pentagon?

• Multiply the sum of interior angles by 5

• Subtract 180 from the sum of interior angles

• Divide the sum of interior angles by 5

• Divide the sum of interior angles by 4

What is the measure of one interior angle in a regular pentagon?

• 72 degrees

• 120 degrees

• 108 degrees

• 90 degrees