Question

question 20 1 pts solve for x. remember, first decide if the angles are equal or add to 180. then solve for x. in the figure below, n||m and l is a transversal. 64° (4x - 16)° what is the value of x? 20 80 12 16

Explanation:

Step1: Identify angle - relationship

Since \(n\parallel m\) and \(l\) is a transversal, the given angles are alternate - interior angles and they are equal. So, \(4x - 16=64\).

Step2: Solve the equation for \(x\)

Add 16 to both sides of the equation: \(4x-16 + 16=64 + 16\), which simplifies to \(4x=80\).

Step3: Isolate \(x\)

Divide both sides of the equation \(4x = 80\) by 4: \(\frac{4x}{4}=\frac{80}{4}\), so \(x = 20\).

Answer:

20