Question

in the following diagram, two parallel lines are cut by a transversal. what angle relationship is shown? same - side interior a what is the value of x?

Explanation:

Step1: Recall angle - relationship property

Same - side interior angles are supplementary, so $(4x - 10)+58 = 180$.

Step2: Simplify the equation

$4x-10 + 58=4x + 48$, so $4x+48 = 180$.

Step3: Solve for $x$

Subtract 48 from both sides: $4x=180 - 48=132$. Then divide both sides by 4: $x=\frac{132}{4}=33$.

Answer:

$33$