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 degrees, while a concave polygon has at least one interior angle greater than 180 degrees.

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 degrees, 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 degrees.

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 degrees.

Front

How do you find the measure of one interior angle of a regular polygon?

Back

To find the measure of one interior angle of a regular polygon, use the formula: (n - 2) * 180 / n, where n is the number of sides.

Front

What is a regular polygon?

Back

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

Front

If a regular polygon has an interior angle of 120 degrees, how many sides does it have?

Back

A regular polygon with an interior angle of 120 degrees has 6 sides.

Front

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

Back

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

Front

What is the relationship between interior and exterior angles of a polygon?

Back

The interior and exterior angles of a polygon are supplementary, meaning they add up to 180 degrees.