Measure Of One Interior Angle
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Which is the same as the number of sides.
Measure of one interior angle. Find the measure of an interior angle of a pentagon. In order to find the measure of a single interior angle of a regular polygon a polygon with sides of equal length and angles of equal measure with n sides we calculate the sum interior angles or n 2 180 and then divide that sum by the number of sides or n. The sum of all angles 4140 360 3780.
To find the measure of one interior angle first substitute n as 5. Pentagon 5 sides for regular pentagon. 540 5 108 there are 108 in each interior angle of a regular pentagon.
The formula for sum of interior angles in a polygon is. N number of sides of the polygon. Interior and exterior angle formulas.
One interior angle will be 3780 23 164 34 degrees approx. The measure of each interior angle of an equiangular n gon is if you count one exterior angle at each vertex the sum of the measures of the exterior angles of a polygon is always 360. The measure of each interior angle of a fifteen sided regular polygon a pendedecagon is 156o.
A polygon is a plane shape bounded by a finite chain of straight lines. Interior angle sum of a pentagon 3 x 180 540 if the polygon is regular all its interior angles are equal you can use the. 180 n 2 180 5 2 180 3 540 since a pentagon has 5 interior angles divide the sum of interior angles 540 by 5.
The sum of the measures of the interior angles of a polygon with n sides is n 2 180. How can you get the measure of an interior angle if you have the measure of the exterior angle of a. Learn how to determine the measure of the interior angles of a regular polygon.
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