anonymous
  • anonymous
if the measure of each interior angle of a regular polygon is 176 find the number of sides on the polygon. Show all work.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
my bad, it's the formula for vertex angle. .
anonymous
  • anonymous
what is the formula of a vertex angle?
anonymous
  • anonymous
|dw:1332827951855:dw| where n is the number of sides. .

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experimentX
  • experimentX
(n-2)x(180)/n = 176 --- solve this equation for 'n', 'n' is the number of sides
anonymous
  • anonymous
so what would the answer be?
anonymous
  • anonymous
how about using this. .
experimentX
  • experimentX
n=90 http://www.wolframalpha.com/input/?i=%28n-2%29+%28180%29%2Fn+%3D+176
anonymous
  • anonymous
given that the sum of the interior angles of a triangle s a180, and to find the measure of the vertex angle it use the formula 360/n where n is pertains to the number of sides, in a regular polygon, from the center, if we create a triangle, it is always isosceles, sometimes equilateral,. use this.. measure of the 1 interior angle of on the base =(sum of the interior angle - vertex angle)/2
anonymous
  • anonymous
176 = 180 - 360/n n =90 i got 90 also
anonymous
  • anonymous
ooh, i got it even without the aid of the interior angle formula. . Yepey! lol
anonymous
  • anonymous
haha. But I know this is bad but I kind of cheated and the answer book says it's 40
anonymous
  • anonymous
huh? lol
anonymous
  • anonymous
are you sure?
anonymous
  • anonymous
yes hey tell me this would it be 40 if the number is 171?
anonymous
  • anonymous
if it's 171, but the given is 176.. :-)
anonymous
  • anonymous
no the given being 171
anonymous
  • anonymous
it's on the given of your post that the measure of the interior angle is 176. .
anonymous
  • anonymous
it is
anonymous
  • anonymous
lol. .
anonymous
  • anonymous
thanks for the medal @dpalnc
anonymous
  • anonymous
idk maybe the book is wrong?

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