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karatechopper Group Title

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

  • one year ago
  • one year ago

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  1. karatechopper Group Title
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    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

    • one year ago
  2. karatechopper Group Title
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    And then I tried to find out what the measure of the interior angles was.

    • one year ago
  3. ksaimouli Group Title
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    Int angle=(n-2)* 180/n

    • one year ago
  4. ksaimouli Group Title
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    ext angle=360/n

    • one year ago
  5. zaynahf Group Title
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    Now just divide by the number of sides

    • one year ago
  6. karatechopper Group Title
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    Yes that!! @ksaimouli I thought about that!!

    • one year ago
  7. karatechopper Group Title
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    R u sure? @zaynahf for some reason I thought it was wrong to do that.

    • one year ago
  8. ksaimouli Group Title
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    then u forgot to divide /n or number of sides in this case 16 i think

    • one year ago
  9. karatechopper Group Title
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    Lemme seee

    • one year ago
  10. karatechopper Group Title
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    2520/16=157.5 So are you saying that 157.5 is the measure of an interior angle?

    • one year ago
  11. zaynahf Group Title
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    *SOrry, not the # of sides

    • one year ago
  12. zaynahf Group Title
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    16-2= 14 2520/14

    • one year ago
  13. karatechopper Group Title
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    And then.. 360/16 =22.5 for exterior angle?

    • one year ago
  14. karatechopper Group Title
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    Oh! 14 for the triangles?

    • one year ago
  15. karatechopper Group Title
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    @zaynahf

    • one year ago
  16. karatechopper Group Title
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    That makes each side become 180 for interior!?! whaaa...makes no sense..

    • one year ago
  17. zaynahf Group Title
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    I know, lol i just messed up

    • one year ago
  18. karatechopper Group Title
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    oh..so then how do I do this?

    • one year ago
  19. zaynahf Group Title
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    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

    • one year ago
  20. zaynahf Group Title
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    You were right :)

    • one year ago
  21. karatechopper Group Title
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    yes!!!

    • one year ago
  22. zaynahf Group Title
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    Ok good :P Sorry again.. i forgot that stuff

    • one year ago
  23. karatechopper Group Title
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    Lol its ok!

    • one year ago
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