Angles of regular polygons

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

Back

7 sides.

Front

What is the measure of one interior angle in a regular pentagon?

Back

108°.

Front

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

Back

To find 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 in a regular heptagon?

Back

128.57°.

Front

If the measure of an angle x is 105°, what is the measure of its supplementary angle?

Back

75°.

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°.

Front

What is the measure of an exterior angle of a regular polygon with 12 sides?

Back

30°.

Front

How do you find the number of sides of a polygon if you know the measure of one exterior angle?

Back

The number of sides n can be found using the formula: n = 360° / measure of one exterior angle.

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°.