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QUESTION IMAGE

solve for x. (3x + 27)° 81° x = submit

Question

solve for x.
(3x + 27)°
81°
x =
submit

Explanation:

Step1: Identify angle - relationship

Since the two horizontal lines are parallel, the angles $(3x + 27)^{\circ}$ and $81^{\circ}$ are corresponding angles and are equal. So we set up the equation $3x+27 = 81$.

Step2: Isolate the variable term

Subtract 27 from both sides of the equation: $3x+27 - 27=81 - 27$, which simplifies to $3x=54$.

Step3: Solve for x

Divide both sides of the equation $3x = 54$ by 3: $\frac{3x}{3}=\frac{54}{3}$, so $x = 18$.

Answer:

$18$