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: Identify angle - relationship

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 the variable terms

Subtract $4x$ from both sides of the equation.
$6x-4x + 11=4x-4x + 9$
$2x+11 = 9$

Step3: Isolate the variable

Subtract 11 from both sides.
$2x+11 - 11=9 - 11$
$2x=-2$

Step4: Solve for $x$

Divide both sides by 2.
$\frac{2x}{2}=\frac{-2}{2}$
$x=-1$

Answer:

$-1$