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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.

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Leta Davis

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3y ago

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What is the sum of the measures of the exterior angles of a convex decagon?

The sum of the exterior angles of ANY polygon, convex or concave, is 360 degrees.


Marcus says that the sum of the exterior angles of a decagon is greater than that of a heptagon because a decagon has more sides. Liam says that the sum of the exterior angles for both polygons is the?

Marcus is correct. The sum of the exterior angles of any polygon is always 360 degrees. A decagon has 10 sides, so each exterior angle measures 36 degrees (360 degrees divided by 10). A heptagon has 7 sides, so each exterior angle measures 51.43 degrees (360 degrees divided by 7). Therefore, the sum of the exterior angles of a decagon is indeed greater than that of a heptagon.


What is the sum of the measures of the exterior angles of a regular polygon with ten sides?

The sum of the measures of the exterior angles of any polygon, regular or irregular, is always 360 degrees. In a regular polygon with ten sides, each exterior angle measures 360 degrees divided by the number of sides, which in this case is 36 degrees. Therefore, the sum of the measures of the exterior angles of a regular decagon is 10 multiplied by 36 degrees, which equals 360 degrees.


What is the sum of the measures of the interior angles of a decagon?

1440


What is the sum of a exterior angle measures of a regular decagon?

The exterior angles of any polygon add up to 360 degrees including a 10 sided regular decagon of which each exterior angle will measure 360/10 = 36 degrees.

Related Questions

What is the sum of the measures of the exterior angles of a convex decagon?

The sum of the exterior angles of ANY polygon, convex or concave, is 360 degrees.


What is the sum of the measures of the exterior angles in a regular decagon?

The exterior angles of any polygon add up to 360.


If one exterior angle of a polygon measures 36 degrees what is the sum of the polygons exterior angles?

The sum of the exterior angles in any polygon is 360 degrees.Therefore that polygon is a decagon.


Marcus says that the sum of the exterior angles of a decagon is greater than that of a heptagon because a decagon has more sides. Liam says that the sum of the exterior angles for both polygons is the?

Marcus is correct. The sum of the exterior angles of any polygon is always 360 degrees. A decagon has 10 sides, so each exterior angle measures 36 degrees (360 degrees divided by 10). A heptagon has 7 sides, so each exterior angle measures 51.43 degrees (360 degrees divided by 7). Therefore, the sum of the exterior angles of a decagon is indeed greater than that of a heptagon.


What is the sum of the measures of the exteroir angles of a decagon?

The exterior angles of any polygon always add up to 360 degrees.


What is the sum of the exterior angles of a decagon?

360


What is the sum of the exterior angle measures os a regular decagon?

The exterior angles of any polygon always add up to 360 degrees


What is the sum of the measures of the exterior angles of a regular polygon with ten sides?

The sum of the measures of the exterior angles of any polygon, regular or irregular, is always 360 degrees. In a regular polygon with ten sides, each exterior angle measures 360 degrees divided by the number of sides, which in this case is 36 degrees. Therefore, the sum of the measures of the exterior angles of a regular decagon is 10 multiplied by 36 degrees, which equals 360 degrees.


The sum of the exterior angle measure of a regular decagon is?

Each exterior angle measures 36 degrees and the 10 exterior angles add up to 360 degrees.


What is the sum of the measures of the exterior angles of an octagon?

The sum of the measures of the exterior angles of an octagon (and any polygon) is 360o.


What is the sum of the measures of the exterior angles of a 157- gon?

360 degrees. The sum of the measures of the exterior angles of any polygon is 360°.


What is the sum of the measures of the angles of a regular decagon?

1440