Question

unit 2 summative: linear & angular relationships

1. if l//m, find the value of x. you must show work fully & neatly to receive credit

x =

Explanation:

Step1: Identify angle - relationship

Since \(l\parallel m\), the angles \(9x - 47\) and \(58\) are corresponding angles and are equal. So we set up the equation \(9x-47 = 58\).

Step2: Solve the equation for \(x\)

Add 47 to both sides of the equation: \(9x-47 + 47=58 + 47\), which simplifies to \(9x=105\). Then divide both sides by 9: \(x=\frac{105}{9}=\frac{35}{3}\approx11.67\).

Answer:

\(x = \frac{35}{3}\)