Question

what value of x will make line 1 parallel to line 2?
a 12
b 38
c 72
d 148

Explanation:

Step1: Use corresponding - angles property

When two lines are parallel, corresponding angles are equal. Here, the angle \((x - 20)^{\circ}\) and \(52^{\circ}\) are corresponding angles. So we set up the equation \(x−20 = 52\).

Step2: Solve the equation for \(x\)

Add 20 to both sides of the equation \(x−20 = 52\). We get \(x=52 + 20\).
\(x=72\)

Answer:

C. 72