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What is the sum of the measures of its exterior angles one at each vertex of a regular n-gon?
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∙ 10y ago
360
Wiki User
∙ 10y ago
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What is the formula to find the sum of the measures of the exterior angles one at each vertex of a polygon?
If it's a regular polygon: 360/number of sides = each exterior angle
What does the Polygon Exterior Angle Sum Theorem say?
Theorem 6-1-2; Polygon Exterior Angle Sum Theorem:The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees.
What are two angles that have a common side and a vertex?
Adjacent angles have a common side and a common vertex.
Do vertical angles have the same vertex?
Yes, since the vertex is a point and the vertical angles share that point.
Because the figures in a tessellation do not overlap or leave gaps the sum of the measures of the angles around any vertex must be?
360 degrees, but this assumes that there are any angles. There need not be any angles - as illustrated by MC Escher in his set of Symmetry artwork.
What is the formula to find the sum of the measures of the exterior angles one at each vertex of a polygon?
If it's a regular polygon: 360/number of sides = each exterior angle
The sum of the measures of the exterior angles of an n-gon one at each vertex is?
The exterior angles of any polygon add up to 360 degrees
What is the sum of the measures of the exterior angles one at each vertex of a polygon with 26 sides?
The sum of the exterior angles of any polygon add up to 360 degrees
What is the sum of the measures of the exterior angles one at each vertex of a convex 140-gon A hexagon?
The exterior angles of any polygon always add up to 360 degrees
What is the sum of the measures of the exterior angles one at each vertex of a convex octagon?
They add up to 360 degrees
What is the sum of the exterior angles of a polygon with 57 sides?
With exterior angles measured as in the related link (extending an imaginary line out from the vertex, so that the interior and exterior at the vertex add to 180°), the sum of exterior angles of any polygon is 360°: Interior / Exterior ______/............. Now if you are saying the exterior angle is all the way around the vertex, then you need to add 180° for each vertex. So 360° + 57*(180°) = 10620°.
What is the exterior angle of a 6 sided polygon at 140 degrees?
A regular 6-sided polygon has exterior angles of 60o(360o/6)If it is not regular, and one interiorangleis 140o, then the exterior angle at that vertex is 40o (180-40).
What is an exterior and interior angles?
The exterior and interior angles of each vertex of a polygon add up to 180 degrees.
What is the sum measures of the exterior angles of a regular hexagon?
It is generally accepted to count only one vertex per side when calculating the sum of exterior angles. If this is what you mean, then for every convex polygon (all angles point away from center), the sum is always 360º.However, you can also count two vertexes per side, so the sum would then be double, or 720º.
How many exterior angles are there with respect to each vertex of a triangle?
There are 3 exterior angles that add up to 360 degrees
What are interior angles that do not share a vertex with exterior angles?
Non-existent in ordinary shapes.
How many exterior angles can be drawn at one vertex of a triangle?
Two
