Answer:
[tex]x = 17[/tex]
Step-by-step explanation:
Because of the Alternate Angle Theorem, the two parallel lines indicate that:
[tex](4x+7)^\circ = 75^\circ[/tex]
Knowing this, we can solve for [tex]x[/tex]:
[tex]4x+7 = 75\\4x = 68\\x = \frac{68}{4}\\x = 17[/tex]
