Question

consider the diagram. \\( \overleftrightarrow{wx} \\) and \\( \overleftrightarrow{yz} \\) are intersecting lines.
diagram showing intersecting lines wx (horizontal) and yz, with angle (3x)° between w and y, and 120° between x and the other side of yz
determine the value of x.
answer
x = \square

Explanation:

Step1: Identify supplementary angles

The angles \((3x)^\circ\) and \(120^\circ\) are supplementary (they form a linear pair), so their sum is \(180^\circ\).
\[
3x + 120 = 180
\]

Step2: Solve for \(x\)

Subtract \(120\) from both sides:
\[
3x = 180 - 120
\]
\[
3x = 60
\]
Divide both sides by \(3\):
\[
x = \frac{60}{3}
\]
\[
x = 20
\]

Answer:

\(x = 20\)