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:

\(-1\)