Interior/Exterior Angles of Polygons

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 with n sides is given by the formula: (n - 2) × 180 degrees.

Front

How many sides does a polygon have if the sum of its interior angles is 1620 degrees?

Back

The polygon has 11 sides.

Front

What is the sum of the measures of the interior angles of a 27-gon?

Back

The sum of the measures of the interior angles of a 27-gon is 4500 degrees.

Front

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

Back

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

Front

If one interior angle of a regular polygon is 140 degrees, how many sides does it have?

Back

The polygon has 9 sides.

Front

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

Back

Each exterior angle of a regular octagon is 45 degrees.

Front

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

Back

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

Front

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

Back

The interior angle and its corresponding exterior angle are supplementary, meaning they add up to 180 degrees.

Front

If a polygon has 12 sides, what is the sum of its interior angles?

Back

The sum of the interior angles of a 12-sided polygon is 1800 degrees.

Front

What is the measure of each interior angle of a regular hexagon?

Back

Each interior angle of a regular hexagon is 120 degrees.