Polygon Angle Sum Practice

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 find the measure of one interior angle of a regular polygon?

Back

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

Front

What is the measure of one interior angle of a regular dodecagon (12 sides)?

Back

150°.

Front

If the sum of the measures of the interior angles of a polygon is 540°, how many sides does it have?

Back

A polygon with a sum of interior angles of 540° has 5 sides.

Front

What is the measure of one interior angle of a regular pentagon (5 sides)?

Back

108°.

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 1080°.

Front

What is the measure of one exterior angle of a regular polygon with 10 sides?

Back

36°.

Front

How do you 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

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

Back

A polygon with a sum of interior angles of 720° has 8 sides.

Front

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

Back

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