Interior and Exterior Angles of Polygons

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. The sum of the exterior angles of any polygon is always 360 degrees.

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 formula for finding the sum of interior angles of a polygon?

Back

The sum of the interior angles of a polygon can be calculated using the formula: Sum = (n - 2) × 180°, where n is the number of sides.

Front

What is the sum of interior angles for a triangle?

Back

The sum of the interior angles for a triangle is always 180 degrees.

Front

What is the sum of interior angles for a quadrilateral?

Back

The sum of the interior angles for a quadrilateral is always 360 degrees.

Front

How do you find the number of sides of a polygon given an exterior angle?

Back

To find the number of sides (n) of a polygon given an exterior angle (E), use the formula: n = 360° / E.

Front

How do you find the number of sides of a polygon given an interior angle?

Back

To find the number of sides (n) of a polygon given an interior angle (I), use the formula: n = 360° / (180° - I).

Front

What is the measure of each interior angle of a regular hexagon?

Back

Each interior angle of a regular hexagon is 120 degrees.

Front

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

Back

Each exterior angle of a regular octagon is 45 degrees.

Front

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

Back

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