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

Question

lime · Answer

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geometry_hater · Answer

Do they look vertically opposite to you?

lime · Answer

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

anonymous · Answer

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

lime · Answer

$$\angle LSM = 145 + 35$$

lime · Answer

Degrees, that is.

$$\angle OSN = 90$$

anonymous · Answer

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 · Answer

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

lime · Answer

I'm using a protractor.

anonymous · Answer

LSM and OSN are vertical angles, they are equal.

lime · Answer

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

anonymous · Answer

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

anonymous · Answer

angle a = angle b & angle d = angle c

lime · Answer

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 · Answer

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 · Answer

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