Question

solve for x.

Explanation:

Step1: Identify angle - relationship

The angles \(102^{\circ}\) and \((10x - 2)^{\circ}\) are vertical angles. Vertical angles are equal.

Step2: Set up the equation

We set up the equation \(10x-2 = 102\).

Step3: Solve the equation for \(x\)

Add 2 to both sides of the equation: \(10x=102 + 2\), so \(10x=104\). Then divide both sides by 10: \(x=\frac{104}{10}=10.4\).

Answer:

\(x = 10.4\)