## How do you find the number of sides in a polygon when given the interior angle?

Finding the Number of Sides of a Polygon You can use the same formula, S = (n − 2) × 180° S = ( n – 2 ) × 180 ° , to find out how many sides n a polygon has, if you know the value of S , the sum of interior angles .

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## How many sides does a polygon have if the sum of the interior angles is 1800?

The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180 (n – 2), where n is the number of sides. The problem concerns a polygon with twelve sides , so we will let n = 12. The sum of the interior angles in this polygon would be 180 (12 – 2) = 180 (10) = 1800.

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## What is the formula for interior angles?

An interior angle is located within the boundary of a polygon. The sum of all of the interior angles can be found using the formula S = (n – 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.

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## How many sides does a polygon have if the sum of the interior angles is 1620?

So, the sum of the interior angles of an 11-gon is 1620 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles , we know that the sum of all the angles is 1620 degrees (from above) And there are eleven angles

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## How many sides does a polygon have if the sum of the interior angles is 1440?

The sum of the measures of the interior angles of a decagon (10 sided polygon ) is 1,440 . We found this by using the formula (n-2)(180).

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## Can a Pentagon have 4 right angles?

Not on a flat surface, no! In Euclidean geometry, a Pentagon by definition is a polygon which must have 5 sides and 5 internal angles and 5 external angles . If it had 4 right angles that would sum to 360 degrees. 540–360 = 180 meaning the last angle must be 180 degrees meaning the shape would not be closed.

## What is the sum of all the interior angles of a polygon?

(n-2)x 180 degrees : The formula for finding the sum of all angles in a polygon (REGULAR).

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## How many sides does an equiangular polygon have if each interior angle measures 156?

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