Answer:
The value of x is 25.83.
Step-by-step explanation:
Vertical angles:
If two angles are vertical, they have the same measure.
In this question:
Angle A has measure 5x + 6
Angle B has measure 6.2x - 25
Since they are vertical:
[tex]A = B[/tex]
[tex]5x + 6 = 6.2x - 25[/tex]
[tex]1.2x = 31[/tex]
[tex]x = \frac{31}{1.2}[/tex]
[tex]x = 25.83[/tex]
The value of x is 25.83.
