Question

1. below are parallel lines cut by a transversal. write and use an equation to find the value of x. 7 + 18x 19x + 1 equation: x =

Explanation:

Step1: Set up equation

When parallel lines are cut by a transversal, corresponding - angles (or alternate - interior/alternate - exterior angles in appropriate cases) are equal. Here, we can assume the two given angle - expressions are equal. So the equation is $19x + 1=18x + 7$.

Step2: Solve the equation for x

Subtract $18x$ from both sides of the equation: $19x-18x + 1=18x-18x + 7$.
This simplifies to $x+1 = 7$.
Then subtract 1 from both sides: $x+1 - 1=7 - 1$.
So $x = 6$.

Answer:

Equation: $19x + 1=18x + 7$
$x = 6$