Polygons & 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 difference between interior and exterior angles?

Back

Interior angles are the angles formed inside a polygon, while exterior angles are formed outside the polygon when a side is extended.

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 formula for finding one exterior angle of a regular polygon?

Back

The formula for finding one exterior angle of a regular polygon is 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

What is an octagon?

Back

An octagon is a polygon with eight sides and eight angles.

Front

How many sides does a regular 18-gon have?

Back

A regular 18-gon has 18 sides.

Front

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

Back

The measure of one interior angle of a regular octagon is 135°.

Front

If a polygon has 10 sides, what is the sum of its interior angles?

Back

The sum of the interior angles of a decagon (10-sided polygon) is 1440°.

Front

What is the relationship between the number of sides and the sum of interior angles?

Back

As the number of sides increases, the sum of the interior angles increases according to the formula (n-2) × 180°.