Angles of Polygons

Front

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

Back

The sum of the interior angles of a polygon with n sides is given by the formula: (n - 2) × 180°.

Front

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

Back

To find the measure of one interior angle in a regular polygon, use the formula: ((n - 2) × 180°) ÷ n, where n is the number of sides.

Front

What is the formula for one exterior angle of a regular polygon?

Back

The formula for one exterior angle of a regular polygon is: 360° ÷ n, where n is the number of sides.

Front

What is the relationship between interior and exterior angles in a polygon?

Back

The interior and exterior angles of a polygon are supplementary, meaning they add up to 180°.

Front

If a polygon has 5 sides, what is the measure of each interior angle?

Back

For a pentagon (5 sides), each interior angle measures 108°.

Front

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

Back

The sum of the interior angles of a hexagon (6 sides) is 720°.

Front

How many sides does a polygon have if the sum of its interior angles is 900°?

Back

A polygon with a sum of interior angles of 900° has 8 sides.

Front

What is the measure of each exterior angle in a regular octagon?

Back

Each exterior angle in a regular octagon (8 sides) measures 45°.

Front

If one interior angle of a regular polygon is 120°, how many sides does it have?

Back

A polygon with an interior angle of 120° has 6 sides (it is a hexagon).

Front

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

Back

The sum of the exterior angles of any polygon is always 360°.