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QUESTION IMAGE

solve for x. (85 - 2x)° (93 - 4x)° x = submit

Question

solve for x.
(85 - 2x)°
(93 - 4x)°
x =
submit

Explanation:

Step1: Identify angle - relationship

Assume the angles are corresponding or alternate - interior/exterior angles (since no other information is given, we assume they are equal for parallel - line cases). So, we set up the equation \(85 - 2x=93 - 4x\).

Step2: Add \(4x\) to both sides

\(85 - 2x+4x=93 - 4x+4x\), which simplifies to \(85 + 2x=93\).

Step3: Subtract 85 from both sides

\(85 + 2x-85=93 - 85\), resulting in \(2x = 8\).

Step4: Divide both sides by 2

\(\frac{2x}{2}=\frac{8}{2}\), so \(x = 4\).

Answer:

\(4\)