Determine the measure of one interior angle given the sum of interior angles ex 3

The video tutorial explains how to find the measure of an interior angle in a regular polygon. It begins by defining a regular polygon and introduces the formula for calculating the sum of interior angles. The tutorial then demonstrates how to solve for the number of sides in a polygon and use this information to find the measure of one interior angle. The process involves dividing the total sum of angles by the number of sides. The tutorial concludes by summarizing the steps and emphasizing the regularity of the polygon's sides and angles.

What is a regular polygon?

• A polygon with neither sides nor angles equal

• A polygon with all angles equal but sides different

• A polygon with all sides equal but angles different

• A polygon with all sides and angles equal

What is the first step in finding the measure of an interior angle of a regular polygon?

• Count the number of sides

• Find the sum of all interior angles

• Divide the sum by 180

• Multiply the number of sides by 180

If the sum of interior angles of a polygon is 1620 degrees, what is the formula to find the number of sides?

• Sum of angles plus 180

• Sum of angles divided by the number of sides

• Sum of angles minus 180

• Sum of angles divided by 180

How do you calculate the measure of one interior angle once you know the number of sides?

• Multiply the sum of angles by the number of sides

• Divide the sum of angles by the number of sides

• Add the sum of angles to the number of sides

• Subtract the number of sides from the sum of angles

What is the measure of each interior angle in an 11-sided regular polygon?

• 90 degrees

• 147.27 degrees

• 162.0 degrees

• 180 degrees