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karatechopper

  • 2 years ago

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

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  1. karatechopper
    • 2 years ago
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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

  2. karatechopper
    • 2 years ago
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    And then I tried to find out what the measure of the interior angles was.

  3. ksaimouli
    • 2 years ago
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    Int angle=(n-2)* 180/n

  4. ksaimouli
    • 2 years ago
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    ext angle=360/n

  5. zaynahf
    • 2 years ago
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    Now just divide by the number of sides

  6. karatechopper
    • 2 years ago
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    Yes that!! @ksaimouli I thought about that!!

  7. karatechopper
    • 2 years ago
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    R u sure? @zaynahf for some reason I thought it was wrong to do that.

  8. ksaimouli
    • 2 years ago
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    then u forgot to divide /n or number of sides in this case 16 i think

  9. karatechopper
    • 2 years ago
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    Lemme seee

  10. karatechopper
    • 2 years ago
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    2520/16=157.5 So are you saying that 157.5 is the measure of an interior angle?

  11. zaynahf
    • 2 years ago
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    *SOrry, not the # of sides

  12. zaynahf
    • 2 years ago
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    16-2= 14 2520/14

  13. karatechopper
    • 2 years ago
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    And then.. 360/16 =22.5 for exterior angle?

  14. karatechopper
    • 2 years ago
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    Oh! 14 for the triangles?

  15. karatechopper
    • 2 years ago
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    @zaynahf

  16. karatechopper
    • 2 years ago
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    That makes each side become 180 for interior!?! whaaa...makes no sense..

  17. zaynahf
    • 2 years ago
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    I know, lol i just messed up

  18. karatechopper
    • 2 years ago
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    oh..so then how do I do this?

  19. zaynahf
    • 2 years ago
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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

  20. zaynahf
    • 2 years ago
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    You were right :)

  21. karatechopper
    • 2 years ago
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    yes!!!

  22. zaynahf
    • 2 years ago
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    Ok good :P Sorry again.. i forgot that stuff

  23. karatechopper
    • 2 years ago
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    Lol its ok!

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