Question

solve for x.
(6x + 12)°
132°
x =

Explanation:

Step1: Identify angle - relationship

Since the two lines \(HI\) and \(JK\) are parallel, the angles \((6x + 12)^{\circ}\) and \(132^{\circ}\) are corresponding angles, so they are equal.
\[6x+12 = 132\]

Step2: Solve the equation for \(x\)

Subtract 12 from both sides of the equation:
\[6x=132 - 12\]
\[6x = 120\]
Divide both sides by 6:
\[x=\frac{120}{6}\]

Answer:

20