Question

solve for x. (10x + 38)° (2x + 34)° x =

Explanation:

Step1: Identify angle - relationship

Assume the angles are corresponding or alternate - interior (since no other information is given, and for parallel lines \(IJ\) and \(KL\), these angle - pairs are equal). Set the two angle expressions equal to each other: \(10x + 38=2x+34\).

Step2: Isolate \(x\) terms

Subtract \(2x\) from both sides: \(10x-2x + 38=2x-2x + 34\), which simplifies to \(8x+38 = 34\).

Step3: Isolate the constant term

Subtract 38 from both sides: \(8x+38 - 38=34 - 38\), resulting in \(8x=-4\).

Step4: Solve for \(x\)

Divide both sides by 8: \(x=\frac{-4}{8}=-\frac{1}{2}\).

Answer:

\(x =-\frac{1}{2}\)