Interior and Exterior Angles of a Polygon

Front

What is the formula to find the measure of one exterior angle of a regular polygon?

Back

The measure of one exterior angle of a regular polygon is given by the formula: 360° / n, where n is the number of sides.

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 can be calculated using the formula: (n - 2) × 180°, where n is the number of sides.

Front

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

Back

The measure of one interior angle of a regular polygon is calculated using the formula: ((n - 2) × 180°) / n.

Front

If a polygon has 20 sides, what is the measure of one exterior angle?

Back

The measure of one exterior angle of a 20-sided polygon is 360° / 20 = 18°.

Front

If a polygon has 32 sides, what is the measure of one interior angle?

Back

The measure of one interior angle of a 32-sided polygon is ((32 - 2) × 180°) / 32 = 168.75°.

Front

What is the measure of 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

How many sides does a polygon have if the sum of its interior angles is 1080 degrees?

Back

The polygon has 10 sides, calculated using the formula: n = (sum of interior angles / 180°) + 2.

Front

What is the measure of one exterior angle of a regular 12-gon?

Back

The measure of one exterior angle of a regular 12-gon is 360° / 12 = 30°.

Front

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

Back

The polygon has 6 sides, calculated using the formula: n = 360° / (180° - interior angle).

Front

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

Back

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