Answer:
[tex] x = 18 [/tex]
Step-by-step explanation:
Vertically opposite angles are pairs of angles formed by intersecting lines. These angles are opposite each other when two lines intersect, and they share a common vertex. Vertically opposite angles are always equal.
In this case, we have two angles, [tex]72^\circ[/tex] and [tex]4x^\circ[/tex]. If these angles are vertically opposite, then they are equal.
Therefore, we can set up the equation:
[tex] 72^\circ = 4x^\circ [/tex]
Now, solve for [tex]x[/tex]:
[tex] x = \dfrac{72}{4} [/tex]
[tex] x = 18 [/tex]
So, the value of x is 18.
