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How many sides does a shape with an exterior angle of 10 have?

How many sides does a shape with an exterior angle of 10 have?

36 sides
If the exterior angle of polygon is 10o then the interior angle must be 170o . In order to find the value of the interior angle of a regular polygon the equation is (n−2)180n where n is the number of sides of the regular polygon. Therefore the polygon has 36 sides.

What polygon has 10 in its each exterior angle?

regular decagon
In the regular decagon, all angles are equal. The sum of all exterior angles of the regular decagon is 360°. As the number of sides is 10 in a decagon. Therefore each exterior angle is equal to 36°(360° ÷ 10 =36°).

How do you find the angle of a 10 sided polygon?

The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440. We found this by using the formula (n-2)(180). Thus, to find the measure of each interior angle we simply divide the sum by the number of total sides in the polygon. 1,440/10 = 144.

What do you call a 10-sided shape?

Your geometry teacher would also tell you that a decagon is a polygon. The word decagon comes from Greek roots, deka, or “ten,” and gōnia, “angle or corner.” Any ten-sided shape can be called a decagon, whether it’s a street sign or the doodle you draw in your notebook during math class.

What is ten sided shape called?

decagon
Your geometry teacher would also tell you that a decagon is a polygon. The word decagon comes from Greek roots, deka, or “ten,” and gōnia, “angle or corner.” Any ten-sided shape can be called a decagon, whether it’s a street sign or the doodle you draw in your notebook during math class.

How many sides is a decagon?

10 side
What is a Decagon? A decagon is a polygon that is easily identified by one key trait – it’s a 10 side shape with ten interior angles and ten vertices.

How many sides and how many angles does a polygon have?

A polygon has as many angles as it has sides. For example, a triangle has 3 sides and 3 angles. A pentagon has 5 sides and 5 angles. An octadecagon has 18 sides and 18 angles! What is the sum of the exterior angles of a pentagon? The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360°.

What are the sides and angles of a decagon?

A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144 ° and they all add up to 1,440 °. An irregular decagon has sides and angles that are not all equal or congruent.

How many vertices are in a decagon polygon?

A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet.

Are there any shapes that have three sides?

The shapes listed in this article are all polygons. Triangles have three sides. The triangle is a very distinctive shape, only ever consisting of three sides connected together. If you ever see a shape that has three sides, it cannot be anything else but a triangle.