Interior and Exterior Angles of Polygons

Front

What is the formula to calculate the sum of the interior angles of a polygon?

Back

The sum of the interior angles of a polygon with n sides is given by the formula: (n - 2) × 180°.

Front

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

Back

To find the measure of each interior angle of a regular polygon with n sides, use the formula: ((n - 2) × 180°) / n.

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 540°?

Back

A polygon with a sum of interior angles of 540° has 4 sides (a quadrilateral).

Front

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

Back

Each interior angle of a regular pentagon measures 108°.

Front

If a heptagon has angles measuring 127°, 152°, 112°, 123°, 135°, and 105°, how do you find the remaining angle?

Back

First, calculate the sum of the known angles, then subtract from the total sum of interior angles of a heptagon (540°) to find the remaining angle.

Front

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

Back

Each exterior angle of a regular octagon measures 45°.

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°.

Front

How do you calculate the sum of the exterior angles of any polygon?

Back

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