Question

determine the value of x that makes the same side. 5. equation: 6x + 120 = 180 x = 10

Explanation:

Step1: Recall angle - sum property

The same - side interior angles formed by two parallel lines and a transversal are supplementary, meaning their sum is 180°. So the right - hand side of the equation $6x + 120$ is 180.

Step2: Solve the equation for x

Subtract 120 from both sides of the equation $6x+120 = 180$. We get $6x=180 - 120$, so $6x = 60$. Then divide both sides by 6: $x=\frac{60}{6}=10$.

Answer:

$x = 10$