Question

find the value of X that would prove j || k. state the converse that justifies your answer.

Answer 1

Let's begin by listing out the given information:

Lines j & k are parallel. Both are intersected by a transversal line

Both angles in the picture are congruent. As such, the value of x is:

$\begin{gathered} 14x-25=129 \\ 14x=129-25 \\ 14x=104 \\ x=\frac{104}{14}=7.4286\approx7.43 \\ x\approx7.43 \end{gathered}$

The converse of j || k is k || j (k is parallel to j)