I need to find out what makes m ll n I’m in geometry and this is big ideas please help if can

Explanation:

On that diagram, the unmarked angle above the (6x-8) is equal to (5x+12). This is because the unmarked angle and the angle marked with (5x+12) are corresponding angles. Corresponding angles must be congruent if you want line m to be parallel to line n.

From here we add up (5x+12) and (6x-8) and set that sum equal to 180. Solve for x

We get the following:

(5x+12)+(6x-8) = 180

5x+12+6x-8 = 180

(5x+6x)+(12-8) = 180

11x+4 = 180

11x = 180-4

11x = 176

x = 176/11

x = 16

one that is bigger than 3 1/2