Topic 45 polygons and 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 an exterior angle of a polygon?

Back

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

Front

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

Back

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

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

If one exterior angle of a regular polygon is 24°, how many sides does it have?

Back

The polygon has 15 sides.

Front

If one exterior angle of a regular polygon is 9°, how many sides does it have?

Back

The polygon has 40 sides.

Front

If one exterior angle of a regular polygon is 20°, how many sides does it have?

Back

The polygon has 18 sides.

Front

If one exterior angle of a regular polygon is 11.25°, how many sides does it have?

Back

The polygon has 32 sides.

Front

What is the relationship between the number of sides and the measure of an exterior angle in a regular polygon?

Back

As the number of sides increases, the measure of each exterior angle decreases.

Front

What is the formula to find the number of sides of a regular polygon given an exterior angle?

Back

The formula is n = 360° / Exterior Angle.