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QUESTION IMAGE

solve for x.

Question

solve for x.

Explanation:

Step1: Identify angle - relationship

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

Step2: Solve the equation for x

Subtract 27 from both sides of the equation: $3x=81 - 27$. So $3x=54$.

Step3: Isolate x

Divide both sides of the equation $3x = 54$ by 3. We get $x=\frac{54}{3}$.

Answer:

$x = 18$