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Consider two angles $A$ and $B$. If $A$ and $B$ are congruent, which of the following statements cannot possibly be true?

The measure of angles $A$ and $B$ is equal.

Angles $A$ and $B$ are vertical angles.

Angles $A$ and $B$ are complementary acute angles.

Angles $A$ and $B$ are supplementary right angles.

Angles $A$ and $B$ are supplementary acute angles.