Question

think about the process write an equation in terms of x that will make d||m. find the value of x for which d||m

Explanation:

Step1: Identify angle - relationship

When two lines are parallel, corresponding angles are equal. Here, if \(d\parallel m\), then \((2x - 27)^{\circ}=93^{\circ}\).

Step2: Solve the equation for \(x\)

Add 27 to both sides of the equation \(2x-27 = 93\). We get \(2x=93 + 27\), so \(2x=120\). Then divide both sides by 2, \(x=\frac{120}{2}\).

Answer:

\(x = 60\)