Angles of Polygons (Section 6-1)

Front

What is a regular polygon?

Back

A polygon with all sides and angles congruent.

Front

What is the formula for the sum of interior angles of a polygon?

Back

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

Front

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

Back

360/n, where n is the number of sides.

Front

If the exterior angle of a regular polygon is 20 degrees, how many sides does it have?

Back

18 sides.

Front

If an exterior angle of a regular polygon has a measure of 36 degrees, how many sides does it have?

Back

10 sides.

Front

What is the measure of each interior angle of a regular polygon with 6 sides?

Back

120 degrees.

Front

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

Back

Interior angle + Exterior angle = 180 degrees.

Front

How do you find the number of sides of a polygon if you know the measure of an exterior angle?

Back

Number of sides = 360 / measure of exterior angle.

Front

What is a convex polygon?

Back

A polygon where all interior angles are less than 180 degrees.

Front

What is a concave polygon?

Back

A polygon that has at least one interior angle greater than 180 degrees.