5) what is the value of n in the picture?
3n
n 14
a) 19
b) 33
c) 57
d) 41.5

Ok. because those two angles are sumplimentary, (they equal 180 degrees) we can set up an equations.
3n+n+14=180

then isolate the variable
4n+14=180 
     -14   -14
4n=166

then divide to undo the multiplication

4n=166
---  
4      4
 
n=41.5

That's super wrong .the answer cannot be 41.5 because if n=41.5 then 41.5 ×4 =166 +90 +14 =270 and that's wrong because in the diameter need have 180 not 270 so is 19×4+90+14=180 answer = 19