Question

solve for x.

x =

Explanation:

Step1: Use the property of vertical angles

Since \( CD\parallel EF\), the angle \( (85 - 2x)^{\circ}\) and the angle adjacent to \( (93 - 4x)^{\circ}\) are supplementary. The adjacent angle to \( (93 - 4x)^{\circ}\) is \(180-(93 - 4x)=(87 + 4x)^{\circ}\). And \(85 - 2x=87 + 4x\) (corresponding angles or alternate - interior angles property for parallel lines).

Step2: Solve the equation

$$
LATEXBLOCK0
$$

Answer:

\(x =-\frac{1}{3}\)