Interior and Exterior Angles of Polygons

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

• 900 degrees

• 540 degrees

• 720 degrees

• 360 degrees

If the measure of one exterior angle of a regular polygon is 45 degrees, how many sides does the polygon have?

• 6

• 8

• 10

• 12

Calculate the measure of each interior angle of a regular pentagon.

• 120 degrees

• 108 degrees

• 135 degrees

• 90 degrees

In a polygon, what is the relationship between the number of sides and the sum of the interior angles?

• The sum of the interior angles is equal to the number of sides multiplied by 180 degrees

• The sum of the interior angles is equal to the number of sides squared

• The relationship between the number of sides and the sum of the interior angles in a polygon is that the sum of the interior angles is equal to (n-2) * 180 degrees, where n is the number of sides.

• The sum of the interior angles is equal to the number of sides divided by 2

Find the measure of each exterior angle of a regular octagon.

• 45 degrees

• 30 degrees

• 60 degrees

• 75 degrees

Identify the type of polygon that has all interior angles equal and all sides equal.

• Irregular polygon

• Equilateral polygon

• Regular polygon

• Symmetric polygon

Tags

CCSS.2.G.A.1

If the sum of the interior angles of a polygon is 720 degrees, how many sides does the polygon have?

• 10

• 6

• 8

• 4

What is the measure of each interior angle of a regular hexagon?

• 150 degrees

• 90 degrees

• 100 degrees

• 120 degrees

Explain the relationship between the number of sides and the measure of each interior angle in a polygon.

• The measure of each interior angle in a polygon is n * 180 / (n-2) degrees.

• The measure of each interior angle in a polygon is (n-1) * 180 / n degrees.

• The measure of each interior angle in a polygon is n * 180 / n degrees.

• The measure of each interior angle in a polygon is (n-2) * 180 / n degrees.

Calculate the sum of the interior angles of a heptagon.

• 720 degrees

• 1080 degrees

• 540 degrees

• 900 degrees