Angles of regular 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°.

Front

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

Back

7 sides.

Front

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

Back

900°.

Front

What is a concave polygon?

Back

A concave polygon is a polygon that has at least one interior angle greater than 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 each interior angle of a regular octagon?

Back

Each interior angle of a regular octagon is 135°.

Front

If one interior angle of a polygon is 90°, what can you say about the polygon?

Back

The polygon could be a rectangle or a square, but it could also be a regular polygon with more than four sides.

Front

What is the relationship between the number of sides and the sum of the interior angles of a polygon?

Back

As the number of sides increases, the sum of the interior angles increases according to the formula (n - 2) × 180°.

Front

How many sides does a polygon have if the sum of its interior angles is 720°?

Back

8 sides.

Front

What is the measure of the exterior angle of a regular polygon?

Back

The measure of each exterior angle of a regular polygon is 360° / n, where n is the number of sides.