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A Regular Polygon

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โˆ™ 2011-08-30 17:14:57
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Q: If the sum of the interior angles of a polygon equals the sum of the exterior angles what is the name of the polygon?
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If the sum of the measures of the interior angles of a polygon equals the sum of the measures of its exterior angles how many sides does it have?

1 a circle 360 interior angles 360 exterior agles


How many sides does a polygon have if the sum of its interior angles is equal to the sum of its exterior angles?

The sum of the exterior angles of all polygons equals to 360⁰.Since only the sum of the interior angles of all quadrilaterals equals to 360⁰, the polygon must have 4 sides.


If the sum of interior angles polygon equals 4320 degrees what is the measure of exterior angle of the polygon?

2280 :S


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.


How can you prove that the sum of exterior angles of a polygon is 360 degrees?

With any regular polygon it is 180 minus interior angle times number of sides equals 360 degrees


Does exterior angle of a triangle equals the sum of the interior angles?

Actually, no. The sum of the exterior angles of a triangle is 360 degrees. The sum of the interior angles of a triangle is 180 degrees.


What is the formula to find the sum of exterior angles of a polygon?

it always equals to 360


What is a polygon called if the sum of its interior angles equals 720?

It is a hexagon.


What equals the sum of the angles in the polygon?

If the polygon has n sides, the sum of its interior angles is 180*(n-2) degrees.


Does the sum of the exterior angles of a pentagon equals 300?

360 degrees. The exterior sum of angles of any polygon is always 360 degrees


A figure has 3 sides What is the sum of its exterior angles?

360A triangle is a polygon with three sides and three angles. The sum of the interior angles of a polygon equals 180(n - 2), where n is the number of sides.180(3 - 2) = 180°Assuming all the angles in the triangle are congruent, find the measure of one interior angle.180° ÷ 3 = 60°If an interior angle equals 60°, then its corresponding exterior angle will equal 120° because the angles are supplementary (their sum is 180°).120° × 3 = 360°Therefore, the sum of the exterior angles of a triangle is 360°.study island


What is the outside angle for a hexagon?

If the hexagon it regular ie: all the interior angles are the same. Then the exterior angles will equal: 360 - Interior Angle=Exterior angle 360 - 120 = 240 Exterior angle equals= 240 NB: Interior angle equals 720/6

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