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If the measure of a vertex angle of a regular polygon is 162 degrees how many sides does the polygon have?
Wiki User
∙ 14y ago
All vertex angles (also called "interior angles") of a regular polygon have equal measures. If this regular polygon has n sides, then the sum of all the interior angles is 162° times n. The sum of the measures of all the interior angles of any polygon with n sides is (n-2) times 180°. So we have this equation
162n=(n-2)(180)
which has solution n=20. So the polygon has 20 sides.
Edwin McCravy
Wiki User
∙ 14y ago
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If a regular polygon has exterior angles that measure 30 each how many sides does the polygon have?
We know that the sum of a polygon's exterior angles, one at each vertex, equals 360 degrees. So at each angle extended from each side there is an angle of 30 degrees. If x= number of sides, then 30x = 360. Divide by 30 and x = 12.
What is the interior angle of a 12- sided shape?
The total interior angle of a 12 sided polygon is = (12 - 2) 180 degrees = 1800 degrees. The internal angle at each vertex of an regular dodecagon is equal to = = 150 degrees. While the exterior angle at a single vertex is = = 30 degrees. The total exterior angle of a 12 sided polygon is 360 degrees.
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What is the measure of the exterior angle of a 13 sided polygon if the interior angles vertex is 55 degrees?
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A regular pyramid has a base and vertex over the center of the base?
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What is a regular 16-gon?
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A has a regular polygon base and a vertex over the center of the base?
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A regular pyramid has a base and a vertex over the center of the base?
Regular Polygon...
A regular pyramid has a regular polygon base and a what over the center of the base?
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If a regular polygon has exterior angles that measure 30 each how many sides does the polygon have?
We know that the sum of a polygon's exterior angles, one at each vertex, equals 360 degrees. So at each angle extended from each side there is an angle of 30 degrees. If x= number of sides, then 30x = 360. Divide by 30 and x = 12.
What is the interior angle of a 12- sided shape?
The total interior angle of a 12 sided polygon is = (12 - 2) 180 degrees = 1800 degrees. The internal angle at each vertex of an regular dodecagon is equal to = = 150 degrees. While the exterior angle at a single vertex is = = 30 degrees. The total exterior angle of a 12 sided polygon is 360 degrees.
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Is a vertex is a regular polygon?
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Yes
