Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Lime

  • 3 years ago

Angles LSM and OSN are vertical angles. True or false?

  • This Question is Closed
  1. Lime
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

  2. Geometry_Hater
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Do they look vertically opposite to you?

  3. Lime
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes, so that's probably false. Maybe the angles are a linear pair?

  4. juantweaver
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Look up the definition of vertical angles. http://www.mathsisfun.com/geometry/vertical-angles.html

  5. Lime
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\angle LSM = 145 + 35\]

  6. Lime
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Degrees, that is. \[\angle OSN = 90\]

  7. juantweaver
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    there is no way to know the actual degrees in this diagram with no given angle information. However, we can state if the angles are vertical or not.

  8. Lime
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So, the angles are a linear pair? Both supplementary and adjacent.

  9. Lime
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm using a protractor.

  10. juantweaver
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    LSM and OSN are vertical angles, they are equal.

  11. Lime
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    But vertical angles are congruent. Horizontally, LSO and MNS are congruent, but not vertically.

  12. juantweaver
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The vertical is just a term, it doesn't actually mean it has to be vertical it simply means/...|dw:1347485797597:dw|

  13. juantweaver
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    angle a = angle b & angle d = angle c

  14. Lime
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It's still odd how each angle equals 180 and 90 degrees. Why wouldn't they be a linear pair? If I center the protractor on S, then each angle can be identified as 145 + 35 and 90 degrees.

  15. juantweaver
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the adjacent angles are supplemental so i understand where you are getting the 180 but am unsure of where your 90 degrees is coming from...

  16. Lime
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1347486382654:dw|

  17. juantweaver
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1347486588698:dw|

  18. Lime
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It doesn't matter if the angle is smaller? The top and the bottom just don't seem that equal to each-other.

  19. juantweaver
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    by top and bottom do you mean...|dw:1347486791023:dw|

  20. juantweaver
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Top angle would be <LSM and bottom angle would be <OSN

  21. juantweaver
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i think that the fact that the quadrilateral is irregular is throwing you off about the angles. With your protractor you should be able to prove that <LSM = <OSN and that <LSO = <MSN

  22. Lime
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I think so. Wow, what a problem. Thank you very much. :)

  23. juantweaver
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    have fun

  24. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy