Question

The figure shows JN and KM intersecting at pointL.What value of x proves JK || MN ?

Answer 1

If JK || MN, then angle JKM is equal 61;

Also, angle JLK = 39 degrees as it is opposite angle to MLN.

Thus;

$\begin{gathered} 3x+5+39+61=180\ldots\ldots\ldots\ldots\text{.sum of angles in triangle JLK} \\ 3x+105=180 \\ 3x=180-105 \\ 3x=75 \\ x=\frac{75}{3} \\ x=25 \end{gathered}$

Thus x= 25 proves that JK || MN