SOLUTION
Two lines that intersect (meet) can never be parallel at the same time. This is because parallel lines can never meet.
So if we place a pencil at line C and rotate it to make it parallel to line b, we can rotate the pencil to make it parallel to line a, but it we can not at the same time rotate it to make it parallel to line a.
Hence the answer is NO.
Parallel lines never meet, and we can not rotate the pencil to make line b parallel to line a.