G 6-1 The Polygon Angle-Sum Theorems

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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 given by the formula (n - 2) × 180°.

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How do you calculate 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: 360° / n, where n is the number of sides.

Front

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

Back

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

Front

How do you find the sum of the interior angles of a polygon?

Back

The sum of the interior angles of a polygon can be found using the formula (n - 2) × 180°, 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 calculated using the formula: ((n - 2) × 180°) / n.

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What is a regular polygon?

Back

A regular polygon is a polygon with all sides and all angles equal.

Tags

CCSS.2.G.A.1

Front

What is a nonagon?

Back

A nonagon is a polygon with nine sides.

Tags

CCSS.2.G.A.1

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What is a decagon?

Back

A decagon is a polygon with ten sides.

Tags

CCSS.2.G.A.1

Front

If a regular polygon has 12 sides, what is the measure of one exterior angle?

Back

The measure of one exterior angle of a regular dodecagon (12-sided polygon) is 30°.

Front

How do you determine the number of sides of a polygon if given the measure of one exterior angle?

Back

To determine the number of sides of a polygon from one exterior angle, use the formula: n = 360° / exterior angle.