Question

write an indirect proof for the following conditional about the figure. if ∠efg and ∠hfj are vertical angles, then x≠3y. to prove the given conditional by contradiction, assume that ∠efg and ∠hfj are vertical angles and that

Explanation:

Step1: Recall indirect - proof concept

In an indirect proof, we assume the opposite of what we want to prove. We want to prove that if $\angle EFG$ and $\angle HFJ$ are vertical angles, then $x
eq3y$. So, we assume the opposite of the conclusion.

Step2: State the assumption

The opposite of $x
eq3y$ is $x = 3y$.

Answer:

$x = 3y$