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Lime

  • 2 years ago

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

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  1. Lime
    • 2 years ago
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  2. Geometry_Hater
    • 2 years ago
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    Do they look vertically opposite to you?

  3. Lime
    • 2 years ago
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    Yes, so that's probably false. Maybe the angles are a linear pair?

  4. juantweaver
    • 2 years ago
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    Look up the definition of vertical angles. http://www.mathsisfun.com/geometry/vertical-angles.html

  5. Lime
    • 2 years ago
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    \[\angle LSM = 145 + 35\]

  6. Lime
    • 2 years ago
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    Degrees, that is. \[\angle OSN = 90\]

  7. juantweaver
    • 2 years ago
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    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
    • 2 years ago
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    So, the angles are a linear pair? Both supplementary and adjacent.

  9. Lime
    • 2 years ago
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    I'm using a protractor.

  10. juantweaver
    • 2 years ago
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    LSM and OSN are vertical angles, they are equal.

  11. Lime
    • 2 years ago
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    But vertical angles are congruent. Horizontally, LSO and MNS are congruent, but not vertically.

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

  13. juantweaver
    • 2 years ago
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    angle a = angle b & angle d = angle c

  14. Lime
    • 2 years ago
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    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
    • 2 years ago
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    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
    • 2 years ago
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    |dw:1347486382654:dw|

  17. juantweaver
    • 2 years ago
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    |dw:1347486588698:dw|

  18. Lime
    • 2 years ago
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    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
    • 2 years ago
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    by top and bottom do you mean...|dw:1347486791023:dw|

  20. juantweaver
    • 2 years ago
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    Top angle would be <LSM and bottom angle would be <OSN

  21. juantweaver
    • 2 years ago
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    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
    • 2 years ago
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    I think so. Wow, what a problem. Thank you very much. :)

  23. juantweaver
    • 2 years ago
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    have fun

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