How many sides has a polygon if the sum of its interior angles is 1440 0?
1 Answer. There are 10 sides .
What polygon has an interior angle sum of 2340?
All interior angles add up to (n-2)180 degrees. Therefore all the interior angles of your 15 sided regular polygon add up to 15 -2 = 13180 degrees = 2340 degrees. Therefore the internal angles are 2340/ 15 = 156 degrees. The sum of interior angles of a regular polygon is 3060º.
What is the sum of the interior angles of a 29 sided polygon?
(n-2)x 180 degrees : The formula for finding the sum of all angles in a polygon (REGULAR). Here “n” represents the number of sides of the polygon .
Which polygon has an interior angle sum of 2160 degrees?
The sum of the angles around the interior point is clearly 360 degrees, so the sum of the polygon’s angles will be (180n)- 360 = (n-2) x 180 degrees. Here we have (n-2) x 180 = 2160, so n-2 = 12. So the polygon has 14 sides.
How many sides does polygon have if the sum of its interior angles?
The sum of the interior angle measures is 180 ˚ . Consider any quadrilateral, a polygon with four sides . The sum of the interior angles measures 360 ˚ . We can therefore deduce that for each polygon with an additional side has 180 ˚ more than the previous figure.
What is the sum of interior angles of a polygon?
To find the sum of interior angles of a polygon , multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.
What is the sum of the interior angles of a polygon with 32 sides?
In geometry, a triacontadigon (or triacontakaidigon) or 32-gon is a thirty-two-sided polygon. In Greek, the prefix triaconta- means 30 and di- means 2. The sum of any triacontadigon’s interior angles is 5400 degrees .
What is the interior angle of a 12 sided polygon?
How many sides does a polygon have if the sum of its interior angles is 1980?
or, (n – 2) = 1980 / 180 = 11. or, n = 13. Therefore there are 13 sides in total.
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.
What is the sum of the interior angles of a 17 sided polygon?
The sum of the interior angles of a 17 – sided convex polygon is 2700°, and the sum of the exterior angles is 360°.
What is the sum of the interior angles of a 9 sided polygon?
The General Rule
|Shape||Sides||Sum of Interior Angles|
|Any Polygon||n||(n−2) × 180°|
What is the interior angle sum of a 14 sided polygon?
Since all angles of a regular polygon are congruent, the sum of the interior angle measures is 14x. By the Polygon Interior Angles Sum Theorem, the sum of the interior angle measures can also be expressed as . The measure of each interior angle of a regular polygon with 14 sides is about 154.3.
How many sides does a polygon have if the sum of its interior angles is 540?
This can be expressed in an equation as: a= 180 (s-2) where a equals the sum of interior angles and s equals the number of sides the polygon has. Therefore we find that the polygon has 5 sides .
How many sides does a polygon with an interior angle of 150 have?