Given m || n, calculate the value of x

  x = 41

Step-by-step explanation:

4x - 68 = 2x + 14         [since alternate interior angles are equal]

4x - 2x = 14 + 68

       2x = 82

         x = 41

x=41

Step-by-step explanation:

this problem can be solved using the alternate interior angles converse theorem, which states that if two coplanar lines are cut by a transversal so that a pair of alternate inerior angles are congruent, then the two lines are parallel.

4x-68=2x+14

2x-68=14 <- subtract 2x from both sides

2x=82 <- add 68 to both sides

x=41 <- divide both sides by 2

check:

4(41)-68=96

2(41)+14=96

25% is the answer