Answer: [tex]x=26[/tex]
Step-by-step explanation:
When parallel lines are cut by a transversal several angles are formed.
A pair of non-adjacent angles located outside the parallel lines and on opposite sides of the transversal are called "Alternate Exterior angles".
By definition, they are congruent, which means that they have equal measure.
In this case, you can identify that [tex](5x+7)\°[/tex] and [tex](8x-71)\°[/tex] are Altermate Exterior angles.
Then, you can write the following equation:
[tex]5x+7=8x-71[/tex]
Finally, you must solve for "x" in order to find its value. This is:
[tex]7+71=8x-5x\\\\78=3x\\\\x=26[/tex]
