## calculusxy one year ago In the figure below, what is the value of n? (Figure will be drawn below...)

1. calculusxy

|dw:1444583014363:dw|

2. AlexandervonHumboldt2

this is easy look: |dw:1444583117284:dw|

3. AlexandervonHumboldt2

|dw:1444583145845:dw|

4. AlexandervonHumboldt2

|dw:1444583284188:dw|

5. calculusxy

why did you do 180-80 = 100 ? how are they supplementary?

6. AlexandervonHumboldt2

they are suplementary because they are line angles. line angles in sum are 180.

7. AlexandervonHumboldt2

|dw:1444583394485:dw|

8. calculusxy

|dw:1444583439871:dw|

9. AlexandervonHumboldt2

noo i meant |dw:1444583512256:dw|

10. calculusxy

oh okay i got you now.. answer is 55?

11. AlexandervonHumboldt2

yeah

12. calculusxy

thank you!

13. Nnesha

there is another way remember vertical angles are equal

14. Nnesha

|dw:1444583714734:dw|

15. calculusxy

oh yeah .. ur right (as always)

16. Nnesha

|dw:1444583734300:dw| use the fact all triangles add up to 180 degree so find angle A 100+35 and then subtract from 180 you will get 45

17. Nnesha

|dw:1444583793615:dw| now again use the fact triangles add up to 180 $\rm 45+80+n=180$