highschoolmom2010
  • highschoolmom2010
The measure of an exterior angle of a regular polygon is given. Find the measure of an interior angle. Then find the number of sides.
Mathematics
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SOLVED
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chestercat
  • chestercat
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highschoolmom2010
  • highschoolmom2010
33. 36 35. 30
ganeshie8
  • ganeshie8
interior angle = 180 - exterior angle
highschoolmom2010
  • highschoolmom2010
so for 33 I just do 180-36?

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More answers

ganeshie8
  • ganeshie8
yes that gives the interior angle, how do u find number of sides ?
highschoolmom2010
  • highschoolmom2010
im not 100% on that
ganeshie8
  • ganeshie8
yea use this :- exterior angles add up to 360
ganeshie8
  • ganeshie8
so if u have 'n' sides in a regular polygon, then n x exterior angle = 360
ganeshie8
  • ganeshie8
n x 36 = 360 n = 360/36 = 10 so its a 10 sided polygon
highschoolmom2010
  • highschoolmom2010
oh then i do the (n-2)180 to find interiors correct?
ganeshie8
  • ganeshie8
does question asks to find "sum of interior angles" also ?
highschoolmom2010
  • highschoolmom2010
it wants an interior angle
ganeshie8
  • ganeshie8
interior angle you have found already. interior angle = 180 - exterior angle
ganeshie8
  • ganeshie8
interior angle = 180 - 36 = 144
ganeshie8
  • ganeshie8
so for Q 33), the answer is this :- its a 10 sided polygon with an interior angle of 144
highschoolmom2010
  • highschoolmom2010
so i do the same thing for 35 too right?
ganeshie8
  • ganeshie8
yes
highschoolmom2010
  • highschoolmom2010
alright i think i can do this now :)
ganeshie8
  • ganeshie8
sounds great :)
highschoolmom2010
  • highschoolmom2010
180-30=150
highschoolmom2010
  • highschoolmom2010
150 is the interior
highschoolmom2010
  • highschoolmom2010
n=360/30 n=12
highschoolmom2010
  • highschoolmom2010
@ganeshie8 is that right?
ganeshie8
  • ganeshie8
thats correct ! gw :)

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