Lime
  • Lime
Angles LSM and OSN are vertical angles. True or false?
Mathematics
jamiebookeater
  • jamiebookeater
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Lime
  • Lime
Geometry_Hater
  • Geometry_Hater
Do they look vertically opposite to you?
Lime
  • Lime
Yes, so that's probably false. Maybe the angles are a linear pair?

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anonymous
  • anonymous
Look up the definition of vertical angles. http://www.mathsisfun.com/geometry/vertical-angles.html
Lime
  • Lime
\[\angle LSM = 145 + 35\]
Lime
  • Lime
Degrees, that is. \[\angle OSN = 90\]
anonymous
  • anonymous
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.
Lime
  • Lime
So, the angles are a linear pair? Both supplementary and adjacent.
Lime
  • Lime
I'm using a protractor.
anonymous
  • anonymous
LSM and OSN are vertical angles, they are equal.
Lime
  • Lime
But vertical angles are congruent. Horizontally, LSO and MNS are congruent, but not vertically.
anonymous
  • anonymous
The vertical is just a term, it doesn't actually mean it has to be vertical it simply means/...|dw:1347485797597:dw|
anonymous
  • anonymous
angle a = angle b & angle d = angle c
Lime
  • Lime
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.
anonymous
  • anonymous
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...
Lime
  • Lime
|dw:1347486382654:dw|
anonymous
  • anonymous
|dw:1347486588698:dw|
Lime
  • Lime
It doesn't matter if the angle is smaller? The top and the bottom just don't seem that equal to each-other.
anonymous
  • anonymous
by top and bottom do you mean...|dw:1347486791023:dw|
anonymous
  • anonymous
Top angle would be
anonymous
  • anonymous
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
Lime
  • Lime
I think so. Wow, what a problem. Thank you very much. :)
anonymous
  • anonymous
have fun

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