Formulas & Polygon Angles

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

• 60°

• 90°

• 120°

• 150°

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

• 180/n

• 360/n

• 360/(n-2)

• 180(n-2)/n

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

• 30°

• 45°

• 60°

• 90°

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

• n = 360 / exterior angle.

• n = 180 / exterior angle.

• n = 360 / (180 - exterior angle).

• n = exterior angle / 360.

What is the formula for finding the measure of one interior angle in a regular polygon?

• (n-2) × 180° / n

• (n+2) × 180° / n

• 180° / n

• (n-2) × 360° / n

If a regular polygon has 12 sides, what is the sum of its interior angles?

• 1080°

• 1200°

• 1800°

• 3600°

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

• They are complementary; their sum is 90°.

• They are supplementary; their sum is 180°.

• They are equal; their measures are the same.

• They are independent; there is no relationship.

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

• 120°

• 135°

• 144°

• 150°

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

• 8

• 10

• 12

• 6

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

• 180°

• 360°

• 540°

• 720°