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S equals 180n-360 solve for n?
540
What shape does the interior angles add up to 1080 degrees?
n-sided polygon, interior angles (2n - 4) right angles or 180n - 360 degrees. 180n - 360 = 1080 180n = 1440 n = 8 It's an octagon.
How many sides does a polygon have if its interior angle is 3780?
Interior angles of an n-sided polygon total 180n - 360 degrees. 180n - 360 = 3780 so 180n = 3780 + 360 ie 4140 making n = 4140/180 ie 23 sides
A regular polygon has interior angles of 135-how many sides does it have?
[180(n-2)] / n = 135 [180n - 360] / n = 135 180n / n = 135 + 360 180n / n = 495 180 = 495 wtf happened to my math well who cares it's 8 the answer is a octagon
The sum of the measures of the interior angles is 1440 degrees How many sides does the polygon have?
180n - 360 = 1440 so 180n = 1800 so n = 10. It's a decagon!
If the sum of the interior angles of a regular polygon is 1080 degrees how many sides does this polygon have?
Formula to find sum of interior angles (when n = number of sides): 180(n-2) Sub in total and solve for n: 180(n-2) = 1080 180n-360 = 1080 180n = 1080 + 360 180n = 1440 180n/180 = 1440/180 n = 8 Thus, the number of sides is 8 and it is a hexagon.
What is the number of sides of a regular polygon if the measure of each interior angle is 120 degrees?
(180n - 360)/n = interior angle of any regular n-sided polygon. In this case (180n - 360)/n = 120 ie 120n = 180n - 360 ie 60n = 360 so n = 6 and your figure is a hexagon.
How do you determine the weight w2 and the angle needed if a leg and cast weigh 290 N with the center of mass just below the knee and the counterbalance w1 weighs 145 N SEE Discuss?
Full leg cast image.
Find the number of sides of a regular polygon with 170 degrees?
If the internal angles are 170 then the external are 180 -170 ie 10 deg. The sum of external angles is always 360 deg so there are 360/10 ie 36 sides. Alternatively, the internal angles of an n-sided polygon always sum to (180n -360) deg, so each angle = (180n -360)/n ie ((180n - 360)/n = 170 ie 180n - 360 = 170n ie 10n = 360 so n = 36
How many sides does a convex ploygon have if the measures of its interior angles have a sum of 2880?
n is number of sides. Sum of interior angles is 180n - 360, so 180n = 2880 + 360, ie 3240 and n = 3240/180 ie 18.
How do you prove in a mathematical proof that the exterior angles of an n-gon add up to 360 degrees?
In any convex polygon with n sides there are n - 2 nonoverlaping triangles, so the interior angle sum is 180(n - 2) degrees. Since an exterior angle of a polygon is formed by extending only one of its sides, then we obtain n straight lines with angle sum of180n degrees. Therefore, 180(n - 2) + the sum of exterior angles = 180n 180n - 360 + the sum of exterior angles = 180n (subtract 180n and add 360 to both sides) the sum of exterior angles = 360 degrees.
How do you find the interior angles of a pentagon?
(180n-360)/n n=5, pentagon has 5 sides
