Question

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

Answer 1

Answer:

$x=10$

Step-by-step 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 $x=10$.