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A convex polygon has 10 sides and one angle at each vertex what is the sum of the measure of its exterior angle?
The exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.
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 convex octagon?
They add up to 360 degrees
What is the sum of the measures of the exterior angles of a convex 13-gon?
The sum of the exterior angles of any polygon is 360 degrees. To demonstrate simply that this is so, imagine you are to run the distance of a polygon. Beginning at vertex A, you run some distance, then turn some amount. This continues until finally you have made a complete loop around the track, turning a full 360 degrees. The sum of those exterior angles is always 360 degrees for any polygon.
What is the sum of the measures of the exterior angles of a decagon?
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.
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
A convex polygon has 10 sides and one angle at each vertex what is the sum of the measure of its exterior angle?
The exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.
What is an exterior and interior angles?
The exterior and interior angles of each vertex of a polygon add up to 180 degrees.
What are exterior angles?
Exterior angles are the angles formed when a side of a polygon is extended, and they are adjacent to the interior angle at that vertex. In a polygon with n sides, there are n exterior angles, one at each vertex. The sum of the exterior angles of any polygon is always 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 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 does a non convex polygon look like?
A non convex polygon would have an exterior angle less than 90 degrees making it look concave at that vertex.
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 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 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 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 is the sum of the measures of the exterior angles of a convex 13-gon?
The sum of the exterior angles of any polygon is 360 degrees. To demonstrate simply that this is so, imagine you are to run the distance of a polygon. Beginning at vertex A, you run some distance, then turn some amount. This continues until finally you have made a complete loop around the track, turning a full 360 degrees. The sum of those exterior angles is always 360 degrees for any polygon.
