Given: p : Angles XYZ and RST are vertical angles. q : Angles XYZ and RST are congruent. Which statement is logically equivalent to p rightarrow q ?

The contrapositive of “if p, then q” is “if not q, then not p,” and it is logically equivalent to the original statement. Here, not q means the angles are not congruent, and not p means they are not vertical angles. So the equivalent statement is “If angles XYZ and RST are not congruent, then they are not vertical angles.”

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