Question

structure in the diagram, a⊥b . find the value of x that makes b||c .

Explanation:

Step1: Recall parallel - line property

If \(b\parallel c\) and \(a\perp b\), then \(a\perp c\). So the angle \((9x + 18)^{\circ}=90^{\circ}\).

Step2: Solve the equation for \(x\)

We have the equation \(9x+18 = 90\). First, subtract 18 from both sides: \(9x=90 - 18\), so \(9x=72\). Then divide both sides by 9: \(x=\frac{72}{9}=8\).

Answer:

\(x = 8\)