In research on $180$ Perth residents, $113$ people liked to watch television, $67$ liked to watch either Netflix or television but not both, and $21$ people didn't like to watch either Netflix or television.

Fill in the values corresponding to the following questions. In your working, explain how you calculated the answers to each question.

$($a$)$ How many people liked to watch Netflix but not television?

$($b$)$ How many people liked to watch television but not Netflix?

$($c$)$ How many people liked to watch both Netflix and television?

$($d$)$ How many people did not like watching Netflix?