Question

For what value of x is line m parallel to line n?

Answer 1

`x=10`

Explanation:

Here, we can use an angle rule.

We see that angles
`(8x+50)`° and 130° are under a sort of F shape, where lines m and n are the horizontal parts of the letter and where the diagonal line is the vertical part of the letter.

This means we can use the rule:

Corresponding angles are equal.

This means that:

`8x + 50 = 130`

We can now use this equation we have formed to solve for
`x`:

`8x + 50 = 130\\8x = 80\\x = 10`

Therefore, our final answer is
`x=10`.