Question

solve for x. (3x + 27)° 81°

Explanation:

Step1: Identify angle - relationship

The angles $(3x + 27)^{\circ}$ and $81^{\circ}$ are corresponding angles. Corresponding angles formed by two parallel lines and a transversal 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:

$x = 18$