Question

For which value of x is line l parallel to line m?

Answer 1

x=17

Explanation:

step 1:

If these two lines were to be parallel, then these two angles would be supplementary (add to up 180).

step 2:

We can set up an equation to find x.

8x-9 + 53 = 180

8x-9 = 127

8x = 136

x = 17.

Answer 2

x = 17

Explanation:

If line l is parallel to line m, the two angles that are shown with values have to be supplementary because they are same side interior angles.

So, for the lines to be parallel,

53 + 8x - 9 = 180

44 + 8x = 180

8x = 136

x = 17