We are asked to find the value of x.
As you can see from the given figure, the complete angle is (120°) and it is being cut into two angles (2x) and (70°)
So, the sum of these two smaller angles must be equal to the complete angle
[tex]2x+70\degree=120\degree[/tex]
Let us solve the equation for x.
[tex]\begin{gathered} 2x+70=120 \\ 2x=120-70 \\ 2x=50 \\ x=\frac{50}{2} \\ x=25 \end{gathered}[/tex]
Therefore, the value of x is 25.
Option C is the correct answer.
