Lesson 6.1 Polygon Angle Sum Theorem

Front

What is the Polygon Angle Sum Theorem?

Back

The Polygon Angle Sum Theorem states that the sum of the interior angles of a polygon with n sides is (n-2) × 180 degrees.

Front

How do you find the measure of one exterior angle of a regular polygon?

Back

To find the measure of one exterior angle of a regular polygon, use the formula: Exterior Angle = 360° / n, where n is the number of sides.

Front

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

Back

The measure of one interior angle of a regular polygon can be found using the formula: Interior Angle = (n-2) × 180° / n.

Front

Calculate the sum of the interior angles of a hexagon.

Back

The sum of the interior angles of a hexagon is (6-2) × 180° = 720°.

Front

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

Back

The sum of the interior angles of a nonagon is (9-2) × 180° = 1260°.

Front

If a regular dodecagon has 12 sides, what is the measure of one interior angle?

Back

The measure of one interior angle of a regular dodecagon is (12-2) × 180° / 12 = 150°.

Front

What is the measure of one exterior angle of a regular decagon?

Back

The measure of one exterior angle of a regular decagon is 360° / 10 = 36°.

Front

How many sides does a polygon have if the sum of its interior angles is 1080°?

Back

The polygon has 8 sides (octagon), since (n-2) × 180° = 1080° leads to n = 8.

Front

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

Back

The interior and exterior angles of a polygon are supplementary, meaning they add up to 180°.

Front

Find the sum of the exterior angles of any polygon.

Back

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