Angles of Regular Polygons Worksheet

Regular polygons are fascinating shapes that have equal sides and angles. If you are an educator or a student looking to reinforce your understanding of angles in regular polygons, then you have come to the right place. In this blog post, we will introduce a angles of regular polygons worksheet that will help you practice and master this topic.

  Regular and Irregular Polygons

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  Quadrilateral Angles Worksheet

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  Irregular Polygons Worksheets

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  Polygon Interior Angle Worksheet

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  Sum of Interior Angles of a Regular Polygon

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  2D Shapes Worksheets Printable

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  Trapezoid Properties Worksheet

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What is an angle of a regular polygon?

The measure of an angle in a regular polygon can be found using the formula (n-2) * 180 / n, where n represents the number of sides in the polygon. This formula calculates the measure of each interior angle in a regular polygon.

How can the measure of one angle of a regular polygon be found?

To find the measure of one angle of a regular polygon, you can divide the total sum of all the interior angles by the number of angles in the polygon. The formula to calculate one angle in a regular polygon is: Angle = (Sum of Interior Angles) / Number of Angles.

How many sides does a regular polygon with an angle measure of 120 degrees have?

A regular polygon with an angle measure of 120 degrees will have 6 sides. This is because in a regular polygon, all angles are equal and can be calculated using the formula: (n-2) * 180 / n, where n represents the number of sides. In this case, having an angle measure of 120 degrees means the polygon has 6 sides.

What type of regular polygon has interior angles measuring 60 degrees each?

A regular polygon with interior angles measuring 60 degrees each is a hexagon.

What is the sum of the interior angles of a regular hexagon?

The sum of the interior angles of a regular hexagon is 720 degrees.

How can the measure of each interior angle of a regular pentagon be found?

The measure of each interior angle of a regular pentagon can be found by dividing the sum of all interior angles (540 degrees) by the number of angles, which is 5. Therefore, each interior angle of a regular pentagon measures 108 degrees.

What is the exterior angle measure of a regular octagon?

The exterior angle measure of a regular octagon is 45 degrees. This means that each angle formed outside the octagon at each vertex is 45 degrees.

What is the sum of the exterior angles of a regular heptagon?

The sum of the exterior angles of any polygon is always 360 degrees. Therefore, the sum of the exterior angles of a regular heptagon (a seven-sided polygon) is also 360 degrees.

How can the measure of each exterior angle of a regular dodecagon be found?

The measure of each exterior angle of a regular dodecagon can be found by dividing 360 degrees by 12 (the number of sides in a dodecagon). Therefore, each exterior angle of a regular dodecagon measures 30 degrees.

What is the relationship between the number of sides and the sum of the interior angles of a regular polygon?

The relationship between the number of sides and the sum of the interior angles of a regular polygon can be found using the formula: sum of interior angles = (n-2)*180, where n is the number of sides of the polygon. This formula holds true for all regular polygons, meaning that the sum of the interior angles of a regular polygon is directly proportional to the number of sides.