Question

Question is in picture!

Answer 1

Well, lets look at the problem. Do you understand the concept of parallel angles?

Answer 2

this is a simplified drawing where the parallel lines ate the stairs

Answer 3

Now we use something called the alternate interiors: the "z" test

Some people find it helpful to use the 'Z test ' for alternate interior angles.
If you can draw a Z or a 'backwards z', then the alternate interior angles are the ones that are in the corners of the Z

Answer 4

See that "z"

Answer 5

So to solve set the two angles equal to each other and solve for x. Can you do that part?