karatechopper
  • karatechopper
Find the measures of an exterior angle and an interior angles given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. Number of sides: 16
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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karatechopper
  • karatechopper
So I started out by doing (n-2)(180) And I substituted n for 16 because n is the number of sides. so.. (16-2)(180) 14(180) =2520
karatechopper
  • karatechopper
And then I tried to find out what the measure of the interior angles was.
ksaimouli
  • ksaimouli
Int angle=(n-2)* 180/n

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ksaimouli
  • ksaimouli
ext angle=360/n
anonymous
  • anonymous
Now just divide by the number of sides
karatechopper
  • karatechopper
Yes that!! @ksaimouli I thought about that!!
karatechopper
  • karatechopper
R u sure? @zaynahf for some reason I thought it was wrong to do that.
ksaimouli
  • ksaimouli
then u forgot to divide /n or number of sides in this case 16 i think
karatechopper
  • karatechopper
Lemme seee
karatechopper
  • karatechopper
2520/16=157.5 So are you saying that 157.5 is the measure of an interior angle?
anonymous
  • anonymous
*SOrry, not the # of sides
anonymous
  • anonymous
16-2= 14 2520/14
karatechopper
  • karatechopper
And then.. 360/16 =22.5 for exterior angle?
karatechopper
  • karatechopper
Oh! 14 for the triangles?
karatechopper
  • karatechopper
@zaynahf
karatechopper
  • karatechopper
That makes each side become 180 for interior!?! whaaa...makes no sense..
anonymous
  • anonymous
I know, lol i just messed up
karatechopper
  • karatechopper
oh..so then how do I do this?
anonymous
  • anonymous
Sorry, its been a long time -_- Here, i found this: Exterior angles always add up to 360 no matter how many sides. So to find an interior angle, it's easiest to find the exterior angle and subtract it from 180 since interior + exterior = 180 So 1 16-gon: 360 / 16 = 22.5; 180 - 22.5 = 157.5 degrees
anonymous
  • anonymous
You were right :)
karatechopper
  • karatechopper
yes!!!
anonymous
  • anonymous
Ok good :P Sorry again.. i forgot that stuff
karatechopper
  • karatechopper
Lol its ok!

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