Interior and Exterior Angles of Polygons

Front

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

Back

(n - 2) × 180 degrees.

Front

What is the sum of the interior angles of a 24-gon?

Back

3960 degrees.

Front

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

Back

360/n degrees.

Front

What is the measure of each exterior angle of a regular 67-gon?

Back

5.4 degrees.

Front

What is the formula to find one interior angle of a regular polygon?

Back

((n - 2) × 180) / n degrees.

Front

How many sides does a polygon have if the sum of its interior angles is 720 degrees?

Back

8 sides (since (n - 2) × 180 = 720).

Front

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

Back

Interior angle + Exterior angle = 180 degrees.

Front

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

Back

1440 degrees (since (10 - 2) × 180 = 1440).

Front

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

Back

120 degrees (since ((6 - 2) × 180) / 6 = 120).

Front

What is the formula to calculate the number of sides of a polygon given the sum of its interior angles?

Back

n = (sum of interior angles / 180) + 2.