Question

find the value of x.
x=
(type an integer or a fraction. do not include the degree symbol in your answer.)

Explanation:

Step1: Use the property of corresponding angles

Since the two angles \(123^{\circ}\) and \((3x + 6)^{\circ}\) are corresponding angles, they are equal. So we have the equation \(3x+6 = 123\).

Step2: Solve the equation for \(x\)

Subtract \(6\) from both sides of the equation: \(3x=123 - 6\), which simplifies to \(3x = 117\).
Then divide both sides by \(3\): \(x=\frac{117}{3}\).

Answer:

\(39\)