Given two parallel lines intersected by a transversal, you can identify the following pair of angles:
![\begin{gathered} \mleft(6x-100\mright)\degree \\ (2x+4)\degree \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ldapxonvy02nt3vvljvyaebmt3jr0ty28d.png)
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:
![6x-100=2x+4](https://img.qammunity.org/2023/formulas/mathematics/college/dfcr1syq60vgr6wypa9gmcvryh3re8xeld.png)
Now you can solve for "x" in order to find its value:
![\begin{gathered} 6x-2x=4+100 \\ 4x=104 \\ \\ x=(104)/(4) \\ \\ x=26 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/tyb1xm9tu1euqwc48xm212ef17h5i11u66.png)
Now you can substitute the value of "x" into one of the expressio