SOLUTION: please answer: the sum of the interior angles in polygon E is 900 degrees more than the sum of interior angles in polygon F. The total number of the sides of the two polygons is 2

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Question 1124005: please answer:
the sum of the interior angles in polygon E is 900 degrees more than the sum of interior angles in polygon F. The total number of the sides of the two polygons is 25. How many sides in each polygon?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of the interior angles in polygon E is 900 degrees more than the sum of interior angles in polygon F. The total number of the sides of the two polygons is 25. How many sides in each polygon?
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Hint:
Each additional side adds 180 degs to the sum of the interior angles.
Sum = (n-2)*180 degs
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Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let m and n are the numbers of sides of the two polygons.


Then your first equation is


((m-2)*180 - (n-2)*180 = 900,    or


(m-2) - (n-2) = 900/180 = 5,   or


m - n = 5.       (1)


Your second equation is


m + n = 25.      (2)


Add equations (1) and (2).


You get  2m = 5+25 = 30  ====>  m = 15.


Then from (2)  n = 25-15 = 10.


Answer.  15 and 10 sides.