Interior Angles of Polygons

Front

What is the formula to find the sum of 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 do you calculate 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 measure of each interior angle in a regular triangle?

Back

Each interior angle in a regular triangle (equilateral triangle) measures 60°.

Front

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

Back

Each interior angle in a regular quadrilateral (square) measures 90°.

Front

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

Back

Each interior angle in a regular pentagon measures 108°.

Front

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

Back

Each interior angle in a regular hexagon measures 120°.

Front

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

Back

Each interior angle in a regular octagon measures 135°.

Front

If a polygon has 10 sides, what is the sum of its interior angles?

Back

The sum of the interior angles of a decagon (10 sides) is (10 - 2) × 180° = 1440°.

Front

If a polygon has 40 sides, what is the measure of each interior angle?

Back

Each interior angle in a regular polygon with 40 sides measures 171°.

Front

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

Back

The interior angle and exterior angle at each vertex of a polygon are supplementary, meaning they add up to 180°.