Answer:
[tex] x = 13 [/tex]
Step-by-step explanation:
Vertically opposite angles are pairs of angles formed by the intersection of two lines. These angles are opposite to each other, and their measures are equal.
In this case, two angles [tex]65^\circ[/tex] and [tex]5x^\circ[/tex], and are vertically opposite, then they are equal. Therefore, we can write the equation:
[tex] 65^\circ = 5x^\circ [/tex]
Now, solve for [tex]x[/tex]:
[tex] 5x = 65 [/tex]
[tex] x = \dfrac{65}{5} [/tex]
[tex] x = 13 [/tex]
So, the value of x is 13°.
