Interior and Exterior Angles

Calculate the sum of interior angles of a regular pentagon.

• 540 degrees

• 360 degrees

• 420 degrees

• 480 degrees

Calculate the sum of exterior angles of a regular hexagon.

• 180 degrees

• 360 degrees

• 450 degrees

• 270 degrees

What is the relationship between the sum of interior angles and the number of sides in a polygon?

• The sum of interior angles in a polygon is (n+2) * 180, where n is the number of sides in the polygon

• The sum of interior angles in a polygon is (n-2) * 180, where n is the number of sides in the polygon.

• The sum of interior angles in a polygon is always 360 degrees

• The sum of interior angles in a polygon is equal to the number of sides

Apply the formula to find the measure of each interior angle of a regular octagon.

• 120 degrees

• 150 degrees

• 135 degrees

• 90 degrees

Apply the formula to find the measure of each exterior angle of a regular nonagon.

• 60 degrees

• 120 degrees

• 90 degrees

• 40 degrees

If a polygon has 12 sides, what is the sum of its interior angles?

• The sum of the interior angles of a 12-sided polygon is (12-2) * 180 = 1800 degrees.

• The sum of the interior angles of a 12-sided polygon is 1200 degrees.

• The sum of the interior angles of a 12-sided polygon is 2000 degrees.

• The sum of the interior angles of a 12-sided polygon is 1600 degrees.

If a polygon has 9 sides, what is the sum of its exterior angles?

• 360 degrees

• 450 degrees

• 180 degrees

• 270 degrees

What is the sum of interior angles of a triangle?

• 180 degrees

• 270 degrees

• 90 degrees

• 360 degrees

What is the sum of exterior angles of a quadrilateral?

• 450 degrees

• 360 degrees

• 180 degrees

• 270 degrees

Explain the relationship between the measure of an interior angle and its corresponding exterior angle in a polygon.

• The measure of an interior angle and its corresponding exterior angle in a polygon are always less than 90 degrees

• The relationship between the measure of an interior angle and its corresponding exterior angle in a polygon is that they add up to 180 degrees.

• The measure of an interior angle and its corresponding exterior angle in a polygon are always greater than 180 degrees

• The measure of an interior angle and its corresponding exterior angle in a polygon are always equal