Exploring Angles in Polygons

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

• 180 degrees

• 360 degrees

• 720 degrees

• 90 degrees

How many degrees does each exterior angle of a regular pentagon measure?

• 90 degrees

• 72 degrees

• 60 degrees

• 36 degrees

How can the sum of exterior angles be visually demonstrated?

• Drawing angles on paper

• Calculating with a calculator

• Using a protractor

• Using a geometers sketchpad

If a polygon is equiangular, how do you find the measure of one interior angle?

• 180 minus exterior angle

• None of the above

• Sum of interior angles divided by number of sides

• 360 divided by number of sides

What does it mean if a polygon is described as equiangular?

• It has equal sides

• It has no right angles

• It has equal angles

• It has alternating angles

What is the relationship between an exterior angle and its corresponding interior angle in a polygon?

• They are opposite

• They are equal

• They are supplementary

• They are complementary

What formula can be used to find the measure of each interior angle of a polygon?

• (n-2) x 180 / n

• None of the above

• 180 - (360 / n)

• 360 / n

How many sides does a polygon have if one interior angle measures 175 degrees?

• 60 sides

• 100 sides

• 72 sides

• 80 sides

What is the measure of each exterior angle of a regular 20-sided polygon?

• 18 degrees

• 9 degrees

• 10 degrees

• 20 degrees

If a regular polygon's exterior angle is 18 degrees, what is its interior angle?

• 180 degrees

• 172 degrees

• 152 degrees

• 162 degrees