Interior & Exterior Angles of Polygons

Front

What is the sum of interior angles for a polygon with n sides?

Back

The sum of interior angles for a polygon with n sides is given by the formula 180(n−2).

Front

What is the sum of exterior angles for any polygon?

Back

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

Front

How many sides does a polygon have if the sum of its interior angles is 4500 degrees?

Back

The polygon has 27 sides.

Front

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

Back

The sum of interior angles is 1440 degrees (using the formula 180(10−2)).

Front

If a polygon has 5 sides, what is the sum of its exterior angles?

Back

The sum of exterior angles is always 360 degrees, regardless of the number of sides.

Front

What is the measure of each exterior angle of a regular polygon with 12 sides?

Back

Each exterior angle measures 30 degrees (360/12).

Front

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

Back

Each interior angle measures 120 degrees (using the formula (180(6−2))/6).

Front

If one interior angle of a polygon is 140 degrees, what is the measure of its corresponding exterior angle?

Back

The corresponding exterior angle is 40 degrees (180 - 140).

Front

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

Back

Interior and exterior angles are supplementary; their sum is always 180 degrees.

Front

How do you find the number of sides of a polygon if you know the measure of each interior angle?

Back

Use the formula n = 360 / (180 - interior angle).