Polygons: Sum of Interior & Exterior Angles

Front

What is a polygon?

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end.

Front

How do you calculate 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

What is the sum of the interior angles of a 24-gon?

Back

3960°.

Front

What is an exterior angle of a polygon?

Back

An exterior angle is formed by one side of the polygon and the extension of an adjacent side.

Front

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

Back

Each exterior angle of a regular polygon can be calculated using the formula: 360° / n, where n is the number of sides.

Front

What is the measure of each exterior angle of a 36-gon?

Back

10°.

Front

What is a convex polygon?

Back

A convex polygon is a polygon where all interior angles are less than 180° and no vertices point inward.

Front

What is a concave polygon?

Back

A concave polygon is a polygon that has at least one interior angle greater than 180°, causing at least one vertex to point inward.

Front

What is a regular polygon?

Back

A regular polygon is a polygon with all sides and angles equal.

Front

What is the difference between equilateral and equiangular polygons?

Back

An equilateral polygon has all sides equal, while an equiangular polygon has all angles equal.