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 . calculator

Explanation:

Step1: Identify angle - relationship

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

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides:
\[6x-4x + 11=4x-4x + 9\]
\[2x+11 = 9\]
Subtract 11 from both sides:
\[2x+11-11=9 - 11\]
\[2x=-2\]
Divide both sides by 2:
\[x=\frac{-2}{2}=-1\]

Answer:

\(-1\)