Interior and Exterior Polygon Angles

Front

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

Back

S = (n - 2) * 180, where n is the number of sides.

Front

How do the interior and exterior angles of a polygon relate?

Back

They are supplementary, meaning their sum is 180 degrees.

Front

What is the sum of the exterior angles of a polygon?

Back

The sum of the exterior angles of any polygon is always 360 degrees.

Front

What is the measure of each exterior angle of a regular polygon?

Back

Each exterior angle can be found using the formula: 360/n, where n is the number of sides.

Front

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

Back

Each interior angle can be found using the formula: (n - 2) * 180/n, where n is the number of sides.

Front

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

Back

The sum of the interior angles is (5 - 2) * 180 = 540 degrees.

Front

If a polygon has 8 sides, what is the sum of its exterior angles?

Back

The sum of the exterior angles is always 360 degrees, regardless of the number of sides.

Front

What is the measure of each exterior angle of a regular 67-gon?

Back

Each exterior angle is 360/67 ≈ 5.4 degrees.

Front

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

Back

Each interior angle is (6 - 2) * 180/6 = 120 degrees.

Front

How many sides does a polygon have if the sum of its interior angles is 720 degrees?

Back

The polygon has 8 sides, since (n - 2) * 180 = 720 leads to n = 8.