Answer:
x = 18°
Step-by-step explanation:
Vertical angles can be defined as a pair of angle formed when two (2) lines intersect. These angles formed during the intersection of the two (2) lines are opposite to each other.
Hence, vertical angles are always equal to one another.
From the question, we have;
58° = (3x + 4)°
Rearranging the equation;
[tex] 3x = 58 - 4[/tex]
[tex] 3x = 54[/tex]
[tex] x = \frac{54}{3}[/tex]
x = 18°
Therefore, the value of x is 18 degrees.