Interior and Exterior Angles of Polygons

Front

What is an interior angle of a polygon?

Back

An interior angle is the angle formed between two sides of a polygon that meet at a vertex, located inside the polygon.

Front

What is an exterior angle of a polygon?

Back

An exterior angle is the angle formed between one side of a polygon and the extension of an adjacent side, located outside the polygon.

Front

How do you calculate the sum of interior angles of a polygon?

Back

The sum of the interior angles of a polygon can be calculated using the formula: (n - 2) × 180°, where n is the number of sides.

Front

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

Back

The sum of the interior angles of a triangle is always 180°.

Front

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

Back

The sum of the interior angles of a quadrilateral is always 360°.

Front

How do you find the measure of each exterior angle of a regular polygon?

Back

To find the measure of each exterior angle of a regular polygon, use the formula: 360° ÷ n, where n is the number of sides.

Front

What is the measure of each exterior angle of a regular hexagon?

Back

Each exterior angle of a regular hexagon measures 60°.

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°, regardless of the number of sides.

Front

How many sides does a polygon have if the sum of its interior angles is 1080°?

Back

A polygon with a sum of interior angles of 1080° has 8 sides (an octagon).

Front

What is the formula to find the sum of the interior angles of a decagon?

Back

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