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Which regular polygons have interior angles of 150 degrees?

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∙ 9y ago

Updated: 10/16/2024

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Q: Which regular polygons have interior angles of 150 degrees?

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Continue Learning about Math & Arithmetic

Why will only three of the regular polygons tessellate the plane?

The tessellating polygons must meet at a point. At that point, the sum of the interior angles of the polygons must 360 degrees - the sum of angles around any point. Therefore, each interior angle must divide 360 evenly. There is no 1 or 2 sided polygon. The interior angle of a regular pentagon is 108 degrees which does not divide 360 degrees. The interior angles of regular polygons with 7 or more sides lie in the range (120, 180) degrees and so cannot divide 360.That leaves regular polygons with 3, 4 or 6 sides.

What is the formulas to finding interior and exterior angles of regular polygons?

Interior Angles: n-2 (n is number of sides) ____ 180 Exterior angles are always 360 degrees.

What are regular polygons?

Regular polygons are those polygons that are bothequilateral (all sides congruent) and equilateral (all interior angles congruent).

3 facts about regular polygons?

All sides are equal in lengthsEach interior angles are equal in sizeAll exterior angles add up to 360 degrees

What are all the shapes that tessellate with themselfs?

All regular polygons whose interior angles are a factor of 360 degrees will tessellate with themselves

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