Question

complete the steps to find the value of x
(8x + 6)° = m∠
(8x + 6)° = °
8x =
x =

Explanation:

Step1: Identify the relationship between angles

Since the two lines are parallel, \((8x + 6)^{\circ}\) and the angle equal to \(118^{\circ}\) (because they are alternate - interior angles). So \((8x + 6)^{\circ}=m\angle4\).

Step2: Solve the equation

\((8x + 6)^{\circ}=118^{\circ}\)
Subtract \(6\) from both sides:
\(8x=118 - 6\)
\(8x = 112\)
Divide both sides by \(8\):
\(x=\frac{112}{8}=14\)

Answer:

\((8x + 6)^{\circ}=m\angle4\), \((8x + 6)^{\circ}=118^{\circ}\), \(8x = 112\), \(x = 14\)