Given two parallel lines intersected by a transversal, you can identify the following pair of angles:
[tex]\begin{gathered} \mleft(6x-100\mright)\degree \\ (2x+4)\degree \end{gathered}[/tex]
Notice that those angles are located on the same side of the transversal. One of them is exterior and the other angle is exterior. Therefore, they are a special pair of angles called "Corresponding Angles".
By definition, Corresponding Angles are congruent, which means that they have equal measure.
Knowing that you can set up the following equation:
[tex]6x-100=2x+4[/tex]
Now you can solve for "x" in order to find its value:
[tex]\begin{gathered} 6x-2x=4+100 \\ 4x=104 \\ \\ x=\frac{104}{4} \\ \\ x=26 \end{gathered}[/tex]
Now you can substitute the value of "x" into one of the expressio
