Question

Find the value of x.2x120°70"O A. 35OB. 55O C. 25O D. 10

Answer 1

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

`2x+70\degree=120\degree`

Let us solve the equation for x.

`\begin{gathered} 2x+70=120 \\ 2x=120-70 \\ 2x=50 \\ x=(50)/(2) \\ x=25 \end{gathered}`

Therefore, the value of x is 25.

Option C is the correct answer.