Two or more angles are supplementary if and only if they can add up to [tex]180^{o}[/tex]. Thus, the appropriate option would be C.
Supplementary angles are angles that add up to the value of angle on a straight line i.e [tex]180^{o}[/tex].
Congruent property of angles implies that they have equal value.
Thus, the given statement that: “Supplementary angles are never congruent”, implies that they can not be equal in value. Thus the contrary to the statement would be: “Supplementary angles are sometimes congruent.”
Considering the figures given in the question, the counter example to the given statement is the figure in option C. [tex]180^{o}[/tex]. Because angle 1 and 2 are approximately equal.
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