Interior and Exterior Angles of Polygons

Front

What is the sum of the interior angles of a nonagon (9 sides)?

Back

1260°

Front

What is the formula to find the sum of the interior angles of any polygon?

Back

(n-2)180

Front

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

Back

((n-2)180)/n

Front

What is the measure of each interior angle in a regular octagon (8 sides)?

Back

(8-2)180/8 = 135°

Front

What is the measure of each exterior angle in a regular polygon with 10 sides?

Back

360°/10 = 36°

Front

How many sides does a polygon have if each exterior angle measures 30°?

Back

12 sides (360°/30° = 12)

Front

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

Back

Interior angle + Exterior angle = 180°

Front

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

Back

(5-2)180 = 540°

Front

What is the measure of one interior angle of a regular pentagon (5 sides)?

Back

(5-2)180/5 = 108°

Front

How do you calculate the number of sides of a regular polygon if you know the measure of one exterior angle?

Back

Number of sides = 360° / measure of one exterior angle