Exploring Interior and Exterior Angles of Polygons

What is a polygon?

• A shape with no sides

• A shape with both curved and straight sides

• A shape with only straight sides

• A shape with only curved sides

What does 'convex' refer to in polygons?

• A polygon where at least one interior angle is greater than 180 degrees

• A polygon that curves inward

• A polygon where all interior angles are less than 180 degrees

• A polygon that curves outward

How many sides does a decagon have?

• 10

• 12

• 20

• 8

Using the interior angle sum theorem, what is the sum of the interior angles of a pentagon?

• 540 degrees

• 360 degrees

• 720 degrees

• 180 degrees

What type of polygon has sides and angles that are all congruent?

• Irregular

• Regular

• Equilateral

• Equiangular

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

• 360(n-3)

• 360(n-2)

• 180(n-2)

• 180(n-3)

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

• 360 degrees

• 1080 degrees

• 540 degrees

• 720 degrees

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

• 540 degrees

• 180 degrees

• 360 degrees

• 720 degrees

What is the measure of one exterior angle of a regular 11-gon?

• 32.7 degrees

• 36 degrees

• 28.3 degrees

• 30 degrees

If a polygon is regular and has 18 sides, what is the measure of one exterior angle?

• 10 degrees

• 20 degrees

• 25 degrees

• 15 degrees