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How many degrees are in a polygon?
The total number of degrees depends on what kind of polygon is in question. To learn the total degrees in a convex polygon, one can use the equation (n-2)180 where n is the number of sides.
What is the angle sum of a polygon with n sides?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
How many sides does a polygon have if the sum of the measures of the interior angles is 3960 degrees?
22 * * * * * NO. It is 24. The formula for an n-sided polygon is (n-2)*180 degrees which gives n-2 = 22. And then n = 24
How many degrees in a polygon?
In a polygon that does not include Quadrilaterals (Squares and Rectangles) I think there are 180 degrees in a Polygon. Although squares and rectangles are polygons, so I do not know why they have 360 degrees. ???Polygons have different numbers of sides. To find out how many degrees are in the polygon, use the formula 180(n-2) n=the number of sides in that polygon. So a square has 4 sides. 180(4-2), or 180 x 2=360 degrees in a square. A triangle has 3 sides, 180 (3-2) or 180 x 1=180 degrees in a triangle.
If the sum of the measures of the interior angles of a polygon is 1980 degrees how many sides does it have?
The formula for the sum of the angles of an interior polygon is 180(n-2), where n is the number of sides, so then you solve 180(n-2) = 1980. (n-2) = 11 n = 13. So the polygon has 13 sides.
How many degrees are in each polygon?
That depends on how many sides the polygon has but in general the number of degrees inside a polygon are: (n-2)*180 = sum of degrees whereas 'n' is the number of sides of the polygon.
What formula do you use to find edges of a polygon?
If 'n' is the number of sides in a polygon with equal side length, then the number of sides is equivalent to (n-2)*180 degrees = total degrees in the polygon. E.g.) A polygon is even-sided with 360 degrees in its interior. How many sides does it have? Answer: (n-2)*180 = 360 n - 2 = 2 n = 4
If The measure of each of the exterior angles of a regular polygon is 12 degrees How many sides does the polygon have?
Sum of exterior angles = 360 degrees (whatever the number of sides). So, if the polygon has n sides, 360/n = 12 so that n = 360/12 = 30 sides.
If the exterior angles measure 40 degrees in a polygon how many sides does the polygon have?
if the exterior angle is 40 degrees the interior angle of the polygon is 180- 40 = 140 degrees. The equation for sides N is interior angle = 180 x (N-2)/N; solving you find N = 9 sides
How many sides does a 1260 degree polygon have?
A 1260 degree polygon has nine sides. The formula for determining this is (n*180)+2, with n being equal to the degrees in the interior of the polygon.
How many degrees are in a polygon?
The total number of degrees depends on what kind of polygon is in question. To learn the total degrees in a convex polygon, one can use the equation (n-2)180 where n is the number of sides.
What is the equation for the angle sum formula?
The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees The sum of the exterior angles of a polygon is 360 degrees, however many sides it has.
If the sum of the interior angles of a regular polygon is 3240 degrees how many sides does this polygon have?
The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees So (n-2)*180 = 3240 Hence n-2 = 18 so that n = 20.
How many sides does a polygon have if the sum of its interior angles is 7560 degrees?
If the polygon has n sides, the sum of its interior angles is 180*(n - 2) degrees. 180*(n - 2) = 7560 (n - 2) = 7560/180 = 42 n = 42 + 2 = 44 sides.
How many degrees are in a polygon and n amount of sides?
A regular polygon is a polygon whose sides are all the same length, and whose angles are all the same. The sum of the angles of a polygon with n sides, where n is 3 or more, is 180° × (n - 2) degrees.So the amount of sides can vary. 6/8/exc...
What is the sum of the interior angle of a polygon with 32 sides?
The sum of interior angles of a polygon with 'n' sides = 180( n - 2 ) degrees Replace n with 32 We get 5400 degrees.
How do you work out an interior angle on a polygon when it has n sides?
The sum of the interior angles of a polygon with n sides is 180*(n-2) degrees. If the polygon is equiangular (ie all its angles are the same) then each of them is 180*(n-2)/n degrees.
