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 many sides does a polygon have if the sum of its interior angles is 5400°?

Back

A polygon with a sum of interior angles of 5400° has 32 sides.

Front

What is the sum of the angle measures in a 35-gon?

Back

The sum of the angle measures in a 35-gon is 5940°.

Front

If a polygon has 7 sides, what is the sum of its interior angles?

Back

The sum of the interior angles of a 7-sided polygon is (7 - 2) × 180° = 900°.

Front

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

Back

In a regular hexagon, each interior angle measures 120°.

Front

What is the relationship between the number of sides of a polygon and the sum of its 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 find the measure of an exterior angle of a regular polygon?

Back

The measure of each exterior angle of a regular polygon is 360° divided by the number of sides (n).

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°.

Front

If one angle of a polygon is 48° and the others are equal, how do you find the measure of the other angles?

Back

Let the number of equal angles be n. The equation is: 48° + n * x = (n + 1 - 2) * 180°, where x is the measure of the other angles.

Front

What is the measure of an angle in a regular octagon?

Back

In a regular octagon, each interior angle measures 135°.