SOLUTION: A polygon has n sides.one of its interior angles is 126 while the other angles are each equal to 162,find the value of n.

Algebra.Com
Question 1026777: A polygon has n sides.one of its interior angles is 126 while the other angles are each equal to 162,find the value of n.
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.
A polygon has n sides. One of its interior angles is 126 while the other angles are each equal to 162. Find the value of n.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

126 + (n-1)*162 = (n-2)*180.


Left side is the sum of interior angles of the given n-gon.

Right side is the sum of interior angles of the general n-gon.

Solve for n and obtain the answer.

126 - 162 + 2*180 = 180n -162n,

324 = 18n,

n =  = 18.


RELATED QUESTIONS

a polygon has n side. one of its interior angles is 126 degrees while other angles each... (answered by Alan3354)
a polygon has n side. one of its interior angles is 126 degrees while other angles each... (answered by Alan3354)
a polygon has n sides.given one of its interior angleof the polygons is 126 degree while... (answered by dileepkumarabhijith)
A polygon has n sides.If one of its interior angles is 84° and the other interior angles... (answered by Edwin McCravy)
One of the interior angles of the polygon with n sides is 124 degrees and the other (n-1) (answered by srinivas.g)
A polygon has m sides. If one of its interior angles is 80 degrees, and the other... (answered by jim_thompson5910)
A polygon has n sides. Two of its exterior angles are 72 and 35 while the remaining... (answered by Alan3354)
a polygon has n sides.one of the interior angles is 156 degrees while the other angles... (answered by ikleyn)
A polygon has n sides. Two of its angles are right angles and each of the remaining... (answered by DrBeeee,josgarithmetic)