Question

1. what is the value of x in the figure below? (3x - 8)° 109°

Explanation:

Step1: Identify angle relationship

The two lines are parallel, and the transversal creates corresponding angles (or alternate interior angles, depending on perspective) that are equal. So, \(3x - 8 = 109\) (since the \(109^\circ\) angle and \((3x - 8)^\circ\) angle are equal, likely corresponding angles).

Step2: Solve for x

Add 8 to both sides: \(3x = 109 + 8\)
\(3x = 117\)
Divide both sides by 3: \(x=\frac{117}{3}\)
\(x = 39\)

Answer:

\(x = 39\)