Geometry Flashcard Angles of Polygons

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 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 decagon have?

Back

A decagon has 10 sides.

Front

What is the measure of one interior angle in a regular polygon with n sides?

Back

The measure of one interior angle in a regular polygon is given by the formula: [(n - 2) × 180°] / n.

Front

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

Back

The sum of the interior angles of a hexagon (6 sides) is (6 - 2) × 180° = 720°.

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

What is a regular polygon?

Back

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

Front

What is the measure of one exterior angle in a regular polygon with n sides?

Back

The measure of one exterior angle in a regular polygon is given by the formula: 360° / n.

Front

If a polygon has 8 sides, what is the sum of its interior angles?

Back

The sum of the interior angles of an octagon (8 sides) is (8 - 2) × 180° = 1080°.

Front

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

Back

The measure of one interior angle in a regular octagon is [(8 - 2) × 180°] / 8 = 135°.