What is the answer to whenever the first and last day of a month fall on the same day of the week that month has exactly Days?

If the first and last day of a month fall on the same day of the week, that month has exactly 29 days, meaning it is February in a leap year. In other months, the first and last days can only align on the same day of the week if the month has either 28 or 30 days. However, only February with 29 days allows this alignment to occur.