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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 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°.
Is the measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
No. The interior angle and exterior angle at the same vertex are supplementary. Each of them is (180 degrees minus the other). In rectangles (including squares), the interior and exterior angles at each vertex are both right 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 the measure of the exterior angle of a 13 sided polygon if the interior angles vertex is 55 degrees?
If an interior angle is 55 deg, the corresponding exterior angle is 125 deg. This has nothing to do with the number of sides of the polygon (unless it is a regular polygon).
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 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 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 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°.
A convex polygon has 7 sides and one angle at each vertex Whats is the sum of exterior angles?
The sum of the exterior angles of a convex polygon which has sides and one angle at each vertex is 360 degrees.
Is the measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
No. The interior angle and exterior angle at the same vertex are supplementary. Each of them is (180 degrees minus the other). In rectangles (including squares), the interior and exterior angles at each vertex are both right angles.
What is the sum of the measures of its exterior angles one at each vertex of a regular n-gon?
360
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 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.
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.
