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Question

# Find a counterexample to show that the converse of each conditional is false.If two angles are adjacent, then they share a vertex.

Solution

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The $\textbf{\color{#4257b2}converse}$ is the statement formed by exchanging the hypothesis and conclusion of a conditional. In symbols, $q\to p$. Here, the converse of the conditional is:

$\color{#c34632}\text{If two angles share a vertex, then they are adjacent.}$

A counterexample would be a pair vertical angles as shown:

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