Exploring Interior and Exterior Angles of Polygons

What defines a polygon?

• An open figure with multiple lines

• A shape with any number of sides

• A closed figure with three or more sides

• A figure with only curved sides

How is the sum of the interior angles of a polygon calculated?

• 180 degrees multiplied by (n - 3)

• 360 degrees divided by n

• 180 degrees multiplied by (n - 2)

• n multiplied by 180 degrees

What is the sum of the exterior angles of any polygon?

• The number of sides times 180

• 180 degrees

• 360 degrees

• Depends on the type of polygon

For a polygon with 12 sides, what is the sum of its interior angles?

• 1080 degrees

• 1800 degrees

• 360 degrees

• 2160 degrees

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

• 900 degrees

• 360 degrees

• 720 degrees

• 540 degrees

How do you find the value of x in a polygon's angle equation?

• Add all angles and set equal to 360

• Subtract from 180 and divide by the number of sides

• Combine like terms and solve the equation set to the sum of interior angles

• Multiply each angle by the number of sides

If a polygon's exterior angles are formed by the side and its extended adjacent side, what is their total sum?

• 360 degrees

• Depends on the number of sides

• Sum of interior angles

• 180 degrees

How is the value of 'a' determined in the context of exterior angles?

• By subtracting each angle from 180 and summing them

• By multiplying each angle by two and adding them

• By setting the combined angles equal to 360 and solving

• By adding all angles and dividing by the number of sides

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

• 360 degrees

• 720 degrees

• 1080 degrees

• 540 degrees

How do you solve for 'y' in the context of interior angles?

• Combine like terms and solve for y

• Divide the sum of angles by y

• Subtract y from each angle and add them

• Multiply each angle by y and sum them