## Lime 3 years ago Angles LSM and OSN are vertical angles. True or false?

1. Lime

2. Geometry_Hater

Do they look vertically opposite to you?

3. Lime

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

4. juantweaver

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

5. Lime

\[\angle LSM = 145 + 35\]

6. Lime

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

7. juantweaver

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

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

9. Lime

I'm using a protractor.

10. juantweaver

LSM and OSN are vertical angles, they are equal.

11. Lime

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

12. juantweaver

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

13. juantweaver

angle a = angle b & angle d = angle c

14. 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.

15. juantweaver

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

|dw:1347486382654:dw|

17. juantweaver

|dw:1347486588698:dw|

18. Lime

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

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

20. juantweaver

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

21. juantweaver

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

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

23. juantweaver

have fun