Question

1. find the value of (x) that makes (pparallel q).

Explanation:

Step1: Use corresponding - angles property

When \(p\parallel q\), the corresponding angles are equal. So, \(7x - 43=4x + 2\).

Step2: Isolate \(x\) - terms

Subtract \(4x\) from both sides: \(7x-4x - 43=4x-4x + 2\), which simplifies to \(3x-43 = 2\).

Step3: Isolate the constant term

Add 43 to both sides: \(3x-43 + 43=2 + 43\), getting \(3x=45\).

Step4: Solve for \(x\)

Divide both sides by 3: \(x=\frac{45}{3}=15\).

Answer:

\(x = 15\)