Polygon Angles

Front

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

Back

The sum of the interior angles of a polygon can be calculated using the formula: (n - 2) × 180°, where n is the number of sides.

Front

How do you find the sum of the interior angles of a nonagon?

Back

To find the sum of the interior angles of a nonagon (9 sides), use the formula: (9 - 2) × 180° = 1260°.

Front

What is the measure of one interior angle in a regular polygon?

Back

In a regular polygon, the measure of one interior angle can be found using the formula: ((n - 2) × 180°) / n, where n is the number of sides.

Front

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

Back

The measure of one exterior angle of a regular polygon can be calculated using the formula: 360° / n, where n is the number of sides.

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 (6 - 2) × 180° = 720°.

Front

If a polygon has 8 sides, what is the sum of its interior angles?

Back

The sum of the interior angles of an octagon (8 sides) is (8 - 2) × 180° = 1080°.

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

How do you find the measure of an exterior angle if the polygon is not regular?

Back

For a non-regular polygon, the measure of an exterior angle can be found by subtracting the measure of the corresponding interior angle from 180°.

Front

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

Back

The sum of the exterior angles of any polygon, regardless of the number of sides, is always 360°.

Front

How do you determine the number of sides in a polygon if given the sum of the interior angles?

Back

To find the number of sides (n) from the sum of the interior angles, use the formula: n = (sum of interior angles / 180°) + 2.