Question

solve for x.

x =
submit

Explanation:

Step1: Set up the equation

Since \(CD\parallel EF\) and \(AB\) is a transversal, \((3x + 24)^{\circ}+(5x - 12)^{\circ}=180^{\circ}\) (consecutive interior angles are supplementary).
$$3x + 24+5x - 12=180$$

Step2: Combine like terms

Combine \(x\) - terms and constant terms:
$$(3x+5x)+(24 - 12)=180$$
$$8x+12 = 180$$

Step3: Isolate the variable term

Subtract \(12\) from both sides:
$$8x+12-12=180 - 12$$
$$8x=168$$

Step4: Solve for \(x\)

Divide both sides by \(8\):
$$x=\frac{168}{8}$$
$$x = 21$$

Answer:

\(21\)