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mingkkoo1

  • 3 years ago

Using only elementary geometry, determine angle x. Provide a step-by-step proof. You may use only elementary geometry, such as the fact that the angles of a triangle add up to 180 degrees and the basic congruent triangle rules (side-angle-side, etc.). You may not use trigonomery, such as sines and cosines, the law of sines, the law of cosines, etc. There is a review of elementary geometry below. This is the hardest problem I have ever seen that is, in a sense, easy. It really can be done using only elementary geometry. This is not a trick question.

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  1. NotTim
    • 3 years ago
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    Koala Bird, MEet Pengu.

  2. mingkkoo1
    • 3 years ago
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  3. NotTim
    • 3 years ago
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    Koala Bird left.

  4. mingkkoo1
    • 3 years ago
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    WHat?

  5. mingkkoo1
    • 3 years ago
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    uh..... DONT LEAVE????

  6. NotTim
    • 3 years ago
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    Err. Start off nice an simple.

  7. mingkkoo1
    • 3 years ago
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    Koala Bird!!

  8. NotTim
    • 3 years ago
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    The bottom triangle, a to b; you can find out the last angle knowing that the total angle fo a triangle is 180.

  9. mingkkoo1
    • 3 years ago
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    k

  10. mingkkoo1
    • 3 years ago
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    k

  11. mingkkoo1
    • 3 years ago
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    k

  12. NotTim
    • 3 years ago
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    You can use that new angle to find out the angle that is on the other side of it, knowing that the total angle is also 180.

  13. mingkkoo1
    • 3 years ago
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    k

  14. mingkkoo1
    • 3 years ago
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    k

  15. mingkkoo1
    • 3 years ago
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    k

  16. NotTim
    • 3 years ago
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    With that, you can use the new angle you got to find the angle beside it, in triangle DE (the small triangle for which you are seeking)

  17. mingkkoo1
    • 3 years ago
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    k

  18. NotTim
    • 3 years ago
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    KOALA BIRD IS BACK

  19. NotTim
    • 3 years ago
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    Er, whatever I'm thinking of, may be overcomplicating the question...

  20. moneybird
    • 3 years ago
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    @Not Tim You got the answer?

  21. NotTim
    • 3 years ago
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    Noo....

  22. mingkkoo1
    • 3 years ago
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    nooooo

  23. NotTim
    • 3 years ago
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    I was thinking: USe all major angles to find the last major angle, and then use the angle collected previously in Triangle DA for the angle. And then Find the angle for Triangle EB. -In summary, find all angles.

  24. NotTim
    • 3 years ago
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    But done I would only get 1 angle for Triangle CDE

  25. NotTim
    • 3 years ago
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    Unless.

  26. NotTim
    • 3 years ago
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    Pengu, did yo uget all the angles within the triangle that reaches---WAIT. NO

  27. NotTim
    • 3 years ago
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    That wouldn't work, as I would need the angles with CDE...

  28. NotTim
    • 3 years ago
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    Sorry. I reached the end of my useful line.

  29. moneybird
    • 3 years ago
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    I find that triangle CDB is an isosceles triangle

  30. JamesJ
    • 3 years ago
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    Call the point where the lines AE and DB intersect F. Then the angle AFB = 180 - (70 + 60) = 50 => the angle DFA = 130 => ADF = 40 The angle DCE = 180 - (80 + 80) = 20 => CEA = 150 That should get you started.

  31. NotTim
    • 3 years ago
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    Imma leave. Sniff.

  32. babystar16
    • 3 years ago
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    hey mingkkool1.

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