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

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

Back

The sum of interior angles of a polygon with n sides is given by the formula: (n - 2) × 180°.

Front

What is the formula to find the measure of each interior angle of a regular polygon?

Back

Each interior angle of a regular polygon can be found using the formula: ((n - 2) × 180°) / n.

Front

What is the sum of exterior angles of any polygon?

Back

The sum of the exterior angles of any polygon 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 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 all angles equal.

Front

If a polygon has 27 sides, what is the sum of its interior angles?

Back

The sum of the interior angles of a 27-gon is (27 - 2) × 180° = 4500°.

Front

If a polygon has 18 sides, what is the measure of each exterior angle?

Back

Each exterior angle of an 18-gon is 360° / 18 = 20°.