Question

Find the value of x.

Short answer

The value of x is 10.

Step-by-step solution

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Write the relation between the angles.

From the given diagram it can be noticed that the given angles are the vertically opposite angles.

Therefore, the given angles are the congruent angles. Therefore, the given angles have same measure.

Step 3. Description of step.

Find the value of x by using the fact that the given angles have the same measure.

$$\begin{gathered} 3x+8=6x-22 \\ 8+22=6x-3x \\ 30=3x \\ \frac{30}{3}=x \\ 10=x \end{gathered}$$

Therefore, the value of x is 10.