Answer:
x=29
Step-by-step explanation:
The overpass and the two lanes form two angles: 4x and 2x+6.
If the lanes are parallel, then the two angles are same side interior angles. Therefore, they must add to 180 degrees.
Let’s add the two angles and set them equal to 180.
4x + (2x+6)= 180
First, combine like terms. 4x and 2x are both terms with a variable, so they can be combined.
(4x+2x) +6=180
6x+6=180
Now, solve for x by isolating it.
6 is being added to 6x. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.
6x+6-6=180-6
6x=180-6
6x=172
x is being multiplied by 6. The inverse of multiplication is division. Divide both sides of the equation by 6.
6x/6=172/6
x=172/6
x=29
When x=29, the same side interior angles are supplementary and the lanes are parallel.
