Answered

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

Find The Value Of X2x12070O A 35OB 55O C 25O D 10 class=

Sagot :

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.

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