6.1 Polygon Angle -Sum Theorems

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

What does n represent in the Polygon Interior Angle Sum Theorem?

Back

n represents the number of sides of the polygon.

Front

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

Back

They are supplementary, meaning their measures add up to 180°.

Front

What is the measure of one exterior angle in a regular hexagon?

Back

60°.

Front

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

Back

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

Front

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

Back

The sum is (8 - 2) * 180 = 1080°.

Front

What is an exterior angle of a polygon?

Back

An exterior angle is formed by one side of the polygon and the extension of an adjacent side.

Front

How can you find the measure of an individual exterior angle in a regular polygon?

Back

Divide 360° by the number of sides (n): Measure = 360°/n.

Front

What is the relationship between the number of sides and the number of triangles in a polygon?

Back

A polygon with n sides can be divided into (n - 2) triangles.

Front

What is the measure of each interior angle in a regular pentagon?

Back

Each interior angle measures 108°.