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solve for x. (6x + 12)° 132° x = □

Question

solve for x.
(6x + 12)°
132°
x = □

Explanation:

Step1: Identify angle - relationship

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

Step2: Solve the equation for x

Subtract 12 from both sides of the equation:
$6x=132 - 12$
$6x = 120$
Then divide both sides by 6:
$x=\frac{120}{6}$
$x = 20$

Answer:

$20$