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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


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°.


How many exterior angles does a quadrilaterals have?

A quadrilateral has four exterior angles, one at each vertex. The sum of these exterior angles is always 360 degrees, regardless of the shape of the quadrilateral. Each exterior angle is formed by extending one side of the quadrilateral at a vertex.


How many exterior angles does a rectangle have?

A rectangle has four exterior angles, one at each vertex. Each exterior angle is formed by extending one side of the rectangle at that vertex. Since a rectangle has four corners, it consequently has four corresponding exterior angles.


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