Given the sum, find the meausre or a single interior angle of a regular polygon ex 1

The video tutorial explains how to find the measure of an interior angle in a regular polygon given the sum of all interior angles. It introduces the formula for calculating the measure of an interior angle and demonstrates how to determine the number of sides of a polygon when the sum of its interior angles is known. The tutorial then shows how to calculate the measure of each individual angle by dividing the sum by the number of sides. The process is summarized with an example of a polygon with a sum of 720 degrees, resulting in each angle measuring 120 degrees.

What is the formula for calculating the measure of an interior angle in a regular polygon?

• (N - 2) * 180 / N

• (N + 2) * 180 / N

• N * 180 / (N - 2)

• 180 / (N - 2)

If the sum of the interior angles of a polygon is 720 degrees, how many sides does the polygon have?

• 8

• 7

• 6

• 5

How do you calculate the measure of each interior angle in a regular polygon once you know the number of sides?

• Add 2 to the number of sides and divide by 180

• Subtract 2 from the number of sides and multiply by 180

• Multiply the number of sides by 180

• Divide the sum of angles by the number of sides

What is the measure of each interior angle in a regular hexagon?

• 100 degrees

• 140 degrees

• 90 degrees

• 120 degrees

Why is it important for the polygon to be regular when calculating the measure of an interior angle?

• Because only regular polygons have equal sides

• Because only regular polygons have a sum of angles equal to 360 degrees

• Because only regular polygons have equal angles

• Because only regular polygons can be divided into triangles