Angles in 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 difference between a convex and a concave polygon?

Back

A convex polygon has all interior angles less than 180°, while a concave polygon has at least one interior angle greater than 180°.

Front

How do you calculate the sum of the 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 many sides does a polygon have if the sum of its interior angles is 720°?

Back

The polygon has 8 sides (an octagon), calculated using the formula: n = (sum of interior angles / 180°) + 2.

Front

What is the measure of one interior angle of a regular polygon?

Back

The measure of one interior angle of a regular polygon can be calculated using the formula: (n - 2) × 180° / n, where n is the number of sides.

Front

What is the measure of one exterior angle of a regular polygon?

Back

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

Front

How many sides does a polygon have if one of its exterior angles measures 45°?

Back

The polygon has 8 sides, calculated using the formula: n = 360° / exterior angle.

Front

What is a regular polygon?

Back

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