Decide whether the statement is true or false. If false provide a counterexample?

Supplementary angles are always linear pairs.





I need help because I think the answer is true but when I checked my answer in the back of the book it says false. can some one explain why it is false?Decide whether the statement is true or false. If false provide a counterexample?
false. linear pairs are always supplementary, but not the other way around.





for example: if you have two parallel lines, an angle is supplementary to a linear pair of a corresponding angle, even if it is not a linear pair with that angle.Decide whether the statement is true or false. If false provide a counterexample?
Think of an unused staple. Much like a squared off


letter U, There's a 90 degree angle at each corner


where the bend is, but there is no straight line, (i.e.


linearity).
Two angles are a linear pair if the angles are adjacent and the two unshared rays form a line. Below is an example of a linear pair:





so physically, the supplementary angles must share the same baseline








however! you can have two isolated angles, or two vertical angles that add up to 180, but do not share the same baseline





to illustrate, see http://planetmath.org/encyclopedia/Linea鈥?/a>
false
I have a pc