SOLUTION: IF two angles are Complementary,They Are adjacent? Why

Algebra ->  Angles -> SOLUTION: IF two angles are Complementary,They Are adjacent? Why       Log On


   

Question 988802: IF two angles are Complementary,They Are adjacent? Why
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Not always. It's possible for two angles to add to 90 degrees, but not be near one another.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Consider 2 similar right triangles. ABC and DEF where angle C and angle F are the right angles. Then, since the sum of the two acute angles in any right triangle must be complementary, and by similarity angle B is equal in measure to angle E, angle A and angle E are complementary but are not necessarily adjacent. Therefore your assertion that if two angles are complementary, they are adjacent is false.

John

My calculator said it, I believe it, that settles it