The figure shows two intersecting lines and the measures of the resulting angles. Write an equation to help you solve for x. Then find the value of x.

Given:

The given figure shows the intersection of the two lines.

The angles formed by the intersection of the two lines are (3x - 8)° and (2x + 12)°

We need to determine the equation to solve for x and to find the value of x.

Equation to solve for x:

Since, the two angles (3x - 8)° and (2x + 12)° are vertically opposite angles and the vertical angles are always equal.

Hence, we have;

Thus, the equation to solve for x is

Value of x:

The value of x can be determined by solving the equation

Thus, we have;

Thus, the value of x is 20.

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