Question

solve for x.

x =

submit

Explanation:

Step1: Identify angle - relationship

The angles \(102^{\circ}\) and \((10x - 2)^{\circ}\) are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are equal.
So, \(10x-2 = 102\).

Step2: Solve the equation for \(x\)

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

Answer:

\(10.4\)