Polygon Sum Theorem

Front

What is the formula for the sum of interior angles in a polygon?

Back

The formula for the sum of interior angles in a polygon is 180(n−2), where n is the number of sides.

Front

What is the sum of interior angles for a pentagon?

Back

The sum of interior angles for a pentagon is 540 degrees.

Front

How do you calculate the measure of each interior angle in a regular polygon?

Back

To calculate the measure of each interior angle in a regular polygon, use the formula: (180(n−2))/n, where n is the number of sides.

Front

What is the sum of exterior angles for any polygon?

Back

The sum of exterior angles for any polygon is always 360 degrees.

Front

If an interior angle of a regular polygon measures 120 degrees, how many sides does it have?

Back

If an interior angle measures 120 degrees, the polygon has 6 sides.

Front

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

Back

The sum of interior angles increases as the number of sides increases, following the formula 180(n−2).

Front

What is the measure of each exterior angle in a regular polygon with 8 sides?

Back

Each exterior angle in a regular polygon with 8 sides measures 45 degrees.

Front

How do you find the number of sides of a polygon if you know the measure of an exterior angle?

Back

To find the number of sides of a polygon from the measure of an exterior angle, use the formula: n = 360 / exterior angle.

Front

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

Back

The sum of the interior angles of a hexagon is 720 degrees.

Front

What is the formula to find the measure of an interior angle of a regular polygon?

Back

The formula to find the measure of an interior angle of a regular polygon is (180(n−2))/n.