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What is the polygon angle sum theorem?

Updated: 4/28/2022
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13y ago

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The number of angles (n) minus 2 times 180 or (n-2)180

For example a decagon has 10 angles so you would take

(10-2)180

(8)180

1440

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13y ago
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Q: What is the polygon angle sum theorem?
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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 exterior angle sum theorem polygon?

No matter how many sides a convex polygon has, the sum of its exterior angles is 360°.


What is the formula for an exterior angle sum theorem?

For any polygon: 180-interior angle = exterior angle and the exterior angles of any polygon add up to 360 degrees


How many degrees are in the sum of an angle and an exterior angle of a regular polygon?

360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360


What is the angle sum of a polygon of 9 sides?

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Which theorem states that the measure of an exterior angle in a triangle is the sum of its remote interior angle measures?

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What is the name of the theorem that states that the measures of the angles in a triangle add up to 180 degrees?

It isn't a theorm, it is a formula. The formula states that for a polygon with S sides, the sum of the interior angles is equivilant to (S-2)times 180


What polygon has an angle sum of 2700 degrees?

polygon with 17 sides


What polygon has a interior angle sum of 4860?

A 29-sided polygon.


What is the angle sum for a twenty sided polygon?

== ==


Which polygon will have the largest angle sum?

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What is the angle sum for a thirteen sided polygon?

The question has been asked "What is the angle sum of a thirteen sided polygon?" The answer to this question is 1980 degrees. The sum of the interior angles of a polygon of n sides = 180(n - 2)