Question

what is the value of x in the figure below?

Explanation:

Step1: Identify the relationship

The angle \(3x^\circ\) and the \(42^\circ\) angle are corresponding angles (since the lines are parallel, as indicated by the arrow marks), so they are equal. So we have the equation \(3x = 42\).

Step2: Solve for \(x\)

Divide both sides of the equation \(3x = 42\) by 3: \(x=\frac{42}{3}\).

Step3: Calculate the value

\(\frac{42}{3}=14\).

Answer:

\(x = 14\)