pandalife pandalife
  • 21-04-2016
  • Mathematics
contestada

How many sides does a polygon have if the sum of its interior angles is 1,260º?

Respuesta :

SwagKing21
SwagKing21 SwagKing21
  • 21-04-2016
one angle = 360 / n
Let x be the angle and n be the number of sides.

x = 360 / n

nx = 360

now, let's use this:

(2n - 4 )*90 = 1260
2n - 4 = 1260 / 90
2n - 4 = 42 / 3
2n - 4 = 14
2n = 18
n = 9

x = 360 / 9
x = 40 degrees for each exterior angle
so the interior angle's measurement is 140 degrees

So 9 would be the answer

Answer Link

Otras preguntas

Two glasses together contain 280 mLof water. The first glass contains 80 ml more than the second glass. How much water does the first glass contain?
if a+b+c=0 for a,b,c then prove a²/bc+b²/ca+c²/ab=3.
I am looking for the square root of 5184 Thanks.
When a Doctor practices Paediatrics, what sort of patients does he have ?
How do you write this in a algebraic equation: 6 more than 7 times a number is 41
what is difference between kilowatt and kilowatt hour?
Find the value of:[tex] 27x^{3}+8 y^{3} [/tex] if 3x+2y = 20 and xy = [tex] \frac{14}{9} [/tex]
A fair coin is tossed 5 times. What is the probability of obtaining exactly 3 heads.
what is difference between kilowatt and kilowatt hour?
the ill effects of building a dam on a major river.