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What is the relationship between interior angles and the sum of the exterior angles of a given polygon?
Wiki User
∙ 12y ago
There isn't one. The sum of the exterior angles is always 360 degrees, the sum of the interior angles varies depending on the number of sides.
Wiki User
∙ 12y ago
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Each interior angle if a regular polygon measurses 172 degrees how many sides does the polygon have?
The easiest way to solve this is to use the exterior angles of the polygon. The sum of an exterior angle and interior angle is 180o. Also the sum of all the exterior angles of a polygon is 360o. As the polygon is regular, all the interior angles are the same and all the exterior angles are the same. So, for an interior angle of 172o the exterior angle is 180-172 = 8o. The sum of all the exterior angles is 360o so how many 8o make up 360o? 360/8=45. Thus the polygon with interior angles of 172o has 45 sides.
What is the sum of all the interior angles in a polygon?
180x(N-2)(interior angle) All polygon of the sums of exterior angles is 360. (if convex)
An interior angle of a polygon and its adjacent exterior angle are complementary?
No, they are supplementary, not complementary.
The measure of an interior angle of a regular polygon is 150 degrees Find the number of sides?
AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon
What is the measure of an interior angle for a regular ten-sided polygon?
144o. Sum of exterior angles of a polygon is 360o. Each exterior angle for a regular decagon is 360o / 10 = 36o. Exterior and interior angles are supplementary, that is sum to 180o. Therefore the interior angle of a regular decagon is 180o - 36o = 144o.
What is the relationship between the interior and exterior angles of a polygon?
They both add up to 180 degrees when on a staight line.
What is the relationship between the measure of a central angle of a polygon and the measures of an interior and an exterior angle of the polygon?
The interior angle and central angle are supplementary, that is they always add up to 180 degrees, while the exterior angle and the central angle will always be the same.
What is the exterior angle of a pollygon?
An exterior angle of a polygon is the supplement of the corresponding interior angle. The exterior angle is the angle between an extended sides of the polygon and the next side of the polygon.
What is the sum of interior and exterior angle of a polygon?
The sum of each pair of interior and exterior angles of a polygon is always 180 degrees.
What is the answer of the polygon interior angle is five times the size of exterior?
Interior + Exterior = 180 and Interior = 5*Exterior So interior = 150 degrees and exterior = 30 degrees. Nothing more may be said unless it is known that the polygon is regular.
What type of an interior angle of a polygon and its adjacent exterior angle are complementary?
The interior angle of a polygon and its adjacent exterior angle can never be complementary.
What are the interior and exterior angles of a regular polygon?
If the polygon has n sides, each exterior angle is 360/n degrees.The interior angle is 180 less exterior angle.
How is an exterior angle of a polygon formed?
180 - interior angle = exterior angle
If the exterior angle of a regular polygon is 20 what is the interior angle of this polygon?
160
What is an exterior and interior angles?
The exterior and interior angles of each vertex of a polygon add up to 180 degrees.
How many sides does a polygon have with 720 degrees?
is 720 the interior angle or exterior if exterior then the answer is two if interior then the answer is six
What is the exterior and interior angle of a regular 10 sided polygon?
Exterior = 36 degrees Interior = 144 degrees
