G-5.1 Interior Angles of Polygons

Front

What is the sum of the interior angles of a polygon with n sides?

Back

The sum of the interior angles of a polygon with n sides is (n-2) × 180°.

Front

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

Back

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

Front

What is the name of a polygon with 5 sides?

Back

Pentagon.

Front

What is the name of a polygon with 7 sides?

Back

Heptagon.

Front

What is the name of a polygon with 8 sides?

Back

Octagon.

Front

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

Back

120°.

Front

If one interior angle of a polygon is 150°, what is the minimum number of sides it can have?

Back

At least 8 sides.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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