SOLUTION: find the counterexample to show that each conjecture is false for if <A and <B are complementary angles then they share a common side

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Question 999526: find the counterexample to show that each conjecture is false for if

Answer by
MathLover1(20850) About Me  (Show Source):
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by definition:
Complementary Angles are 2 angles the sum of whose measures is 90°
the counterexample to show that each conjecture is false for if
the counterexample: adjacent angles (two angles are adjacent when they have a common+side and a common vertex (corner point) and don't overlap)
some more examples:
a counterexample is an exception to a proposed general rule or law
for example, consider the proposition "all students are lazy"
because this statement makes the claim that a certain property (laziness) holds for all students, even a single example of a diligent student will prove it false
thus, any hard-working student is a counterexample to "all students are lazy"
more precisely, a counterexample is a specific instance of the falsity of a universal quantification (a "for all" statement)
or
the sum of two integers is always positive: a counterexample =>-4%2B3=-1
the product of two mixed numbers is never a whole number:
a counterexample => (1+1%2F4)(2+2%2F5)=3
all four-sided figures are rectangles: a counterexample =>parallelogram with no 90 degree angles