Question

enter the answer in the space provided. transversal s intersects parallel lines l and m. the m∠1=(6x + 11)°, and m∠2=(4x + 9)°. the value of x is

Explanation:

Step1: Use corresponding - angles property

Since lines \(l\) and \(m\) are parallel and \(s\) is a transversal, \(\angle1\) and \(\angle2\) are corresponding angles, so \(m\angle1 = m\angle2\).
\(6x + 11=4x + 9\)

Step2: Isolate \(x\) - terms

Subtract \(4x\) from both sides of the equation:
\(6x-4x + 11=4x-4x + 9\)
\(2x+11 = 9\)

Step3: Isolate the constant term

Subtract 11 from both sides:
\(2x+11 - 11=9 - 11\)
\(2x=-2\)

Step4: Solve for \(x\)

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

Answer:

\(-1\)