Formulas & Polygon Angles

Front

What is the formula for one exterior angle in a regular polygon?

Back

360/n

Front

How many sides does a regular polygon have if one exterior angle measures 36°?

Back

10

Front

What is the measure of the sum of the exterior angles in any polygon?

Back

360°

Front

What is the measure of ONE interior angle if the exterior angle is 60°?

Back

120°

Front

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

Back

135°

Front

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

Back

(n-2) × 180°, where n is the number of sides.

Front

If a polygon has 8 sides, what is the measure of each exterior angle?

Back

45°

Front

What is the relationship between an interior angle and its corresponding exterior angle?

Back

They are supplementary; their sum is 180°.

Front

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

Back

n = 360 / exterior angle.

Front

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

Back

108°