Question

What is the value of x? ​

Answer 1

x=20

Explanation:

The lines on the top and bottom are shown to be parallel and the line in between is a transversal. This means that the same side interior theorem applies. The same side interior theorem states that 2 angles on the same side of a transversal, inside 2 parallel lines will sum 180 degrees.

So, to solve, add the expressions together and set them equal to 180.

• First, create the equation

80+(4x+20)= 180

• Then, combine like terms

4x+100=180

• Next, subtract 100 from both sides

4x=80

• Finally, divide both sides by 4

x=20