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

- Lime

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

- jamiebookeater

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- Lime

##### 1 Attachment

- Geometry_Hater

Do they look vertically opposite to you?

- Lime

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

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## More answers

- anonymous

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

- Lime

\[\angle LSM = 145 + 35\]

- Lime

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

- 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

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

- Lime

I'm using a protractor.

- anonymous

LSM and OSN are vertical angles, they are equal.

- Lime

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

- anonymous

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

- anonymous

angle a = angle b & angle d = angle c

- 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

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

|dw:1347486382654:dw|

- anonymous

|dw:1347486588698:dw|

- 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

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

- anonymous

Top angle would be

- 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

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

- anonymous

have fun

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