Given:
The angles formed between the transversal and two parallel lines are
[tex]\begin{gathered} (6x-100)\degree \\ (2x+4)\degree \end{gathered}[/tex]The objective is to find the value of x.
Explanation:
By the property of corresponding angles, the angles formed between transversal and parallel lines on the same side will be equal.
To find x:
On equating the two angles, the value of x can be calculated as,
[tex]6x-100=2x+4[/tex]On further equating the above equation,
[tex]\begin{gathered} 6x-2x=4+100 \\ 4x=104 \\ x=\frac{104}{4} \\ x=26 \end{gathered}[/tex]Hence, the value of x is 26.