Homework - Sum of Interior and Exterior Angles of Polygons

Front

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

Back

180(n−2), where n is the number of sides.

Front

What is the sum of exterior angles of any polygon?

Back

360 degrees.

Front

How do you calculate the measure of each interior angle of a regular polygon?

Back

Divide the sum of interior angles by the number of sides: (180(n−2))/n.

Front

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

Back

540 degrees.

Front

If a polygon has 8 sides, what is the measure of each interior angle in a regular octagon?

Back

135 degrees.

Front

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

Back

Interior angle + Exterior angle = 180 degrees.

Front

Solve for x: The interior angle of a polygon is 120 degrees. How many sides does it have?

Back

6 sides.

Front

What is the sum of the interior angles of a triangle?

Back

180 degrees.

Front

If the exterior angle of a polygon is 40 degrees, how many sides does it have?

Back

9 sides.

Front

Solve for x: The sum of the interior angles of a polygon is 720 degrees. How many sides does it have?

Back

8 sides.