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anonymous

  • 5 years ago

How do I determine x for this pentagon? The angles are x, 1.5x, 1.5x, x,x

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  1. anonymous
    • 5 years ago
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    first find the sum of interior angles of a pentagon by using the formula (n-2) * 180

  2. anonymous
    • 5 years ago
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    oh ok ill try that

  3. anonymous
    • 5 years ago
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    would the anwser be -90?

  4. anonymous
    • 5 years ago
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    nope

  5. anonymous
    • 5 years ago
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    (5-2) * 180 = 3 * 180 = 540 x + 1.5x + 1.5x + x +x = 540

  6. anonymous
    • 5 years ago
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    collect like terms and solve for x

  7. anonymous
    • 5 years ago
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    i forgot to add 1.5 and 1.5 together... T-T

  8. anonymous
    • 5 years ago
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    6x = 540 x = 90

  9. anonymous
    • 5 years ago
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    i asked my father and he doesnt even understand... i dont quite understand...

  10. anonymous
    • 5 years ago
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    Which part do you not understand?

  11. anonymous
    • 5 years ago
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    well... all of it...

  12. anonymous
    • 5 years ago
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    What is the formula for finding the sum of all interior angles for an n sided shape?

  13. anonymous
    • 5 years ago
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    s=(n-2)180

  14. anonymous
    • 5 years ago
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    Good! so what is the sum of all interior angles for a pentagon, which is a 5-side shape?

  15. anonymous
    • 5 years ago
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    thats where i am a little hasey

  16. anonymous
    • 5 years ago
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    Let's do this slowly. Plug in 5 as n

  17. anonymous
    • 5 years ago
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    ok

  18. anonymous
    • 5 years ago
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    then multiply it by 180 and you get 540?

  19. anonymous
    • 5 years ago
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    yes

  20. anonymous
    • 5 years ago
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    HAHA FINALLY!!!

  21. anonymous
    • 5 years ago
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    Given that Tthe angles are x, 1.5x, 1.5x, x,x

  22. anonymous
    • 5 years ago
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    sum of these angles is also equal to 540

  23. anonymous
    • 5 years ago
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    so all of the angles added together = 540?

  24. anonymous
    • 5 years ago
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    yes

  25. anonymous
    • 5 years ago
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    i drew an image of the shape would you want to see?

  26. anonymous
    • 5 years ago
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    sure, but it's not required

  27. anonymous
    • 5 years ago
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    oh ok

  28. anonymous
    • 5 years ago
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    then i wont

  29. anonymous
    • 5 years ago
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    ok so do you understand it much better?

  30. anonymous
    • 5 years ago
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    sort of.. in class my teacher saud something about subtracting the sum with 180

  31. anonymous
    • 5 years ago
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    subtracting 180 is for triangles, which is a 3-sided shape

  32. anonymous
    • 5 years ago
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    oh ok... thank you for taking your time and explaining this to me...

  33. anonymous
    • 5 years ago
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    no problem

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