The value of x is 16 and the converse is: If consecutive interior angles are supplementary, then the lines are parallel.
The converse of the given statement is:
If consecutive interior angles are supplementary, then the lines are parallel.
To solve for the value of x, we can use the following equation:
53 + (8x - 9) = 180
8x = 128
x = 16
Therefore, the value of x is 16 and the converse is:
If consecutive interior angles are supplementary, then the lines are parallel.
Please note that the converse of a theorem is not always true. In this case, the converse is true, which means that the two statements are equivalent.