We know that:
Since line m is parallel to line n, (6x - 5) and (6x + 5) are a linear pair.
Linear pair means that the sum of two angles equaling 180°.
This means that:
Step-by step calculations:
Opening the parenthesis:
Combining like terms:
Simplify the LHS:
Divide 12 both sides and simplify:
Thus, the value of x is 15.