Subject: supplementary angles
Thanks for clearing this up!Hi Suzanne,
You have the definitions correct: the angles do not have to share the same vertex; they can be anywhere in the plane. If A + B = 180 degrees the pair is called "supplementary", with A the supplement of B and B the supplement of A. For example, if A, B, C, D are four points lying on a circle in the given order, then a theorem of Euclid says that A and C are supplementary angles.
When A + B = 90 degrees the pair is called "complementary", with A the complement of B and B the complement of A.Cheers,