Answer:
The value of [tex]x[/tex]:
[tex]x = 20[/tex]
Step-by-step explanation:
-Since, one angle with the measure [tex]x + 40[/tex] and another angle with measure [tex]3x[/tex] are vertical angles, they equal each other. So, it will be written as:
[tex]x + 40 = 3x[/tex]
-After you have formed an equation, you switch the equation and you solve for the value of [tex]x[/tex]:
[tex]x + 40 = 3x[/tex]
[tex]x - x + 40 = 3x -x[/tex]
[tex]40 = 2x[/tex]
[tex]\frac{40}{2} = \frac{2x}{2}[/tex]
[tex]20 = x[/tex]
So, the final answer is [tex]20 = x[/tex] or [tex]x = 20[/tex] (They are both the same, you just switch them).
