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:

\(x = 20\)