Answer: x = 27
Step-by-step explanation:
The angles (4x + 7) and 5(x - 4) are opposite angles formed by intersecting lines.
When intersecting lines form two sets of opposing angles, both pairs are equal in angle measure.
As such, the angles (4x + 7) and 5(x - 4) are equal. Knowing this, you can solve for x by setting the angles equal to each other in an equation:
[tex](4x + 7) = 5(x - 4)\\\\4x + 7 = 5x - 20\\\\27 = x[/tex]
X = 27.
