I'm assuming this is an assignment in a beginning programming course. As such, I would look at this problem as a series if nested if statements.
Pseudocode is kind of like writing down programming logic without worrying about syntax. So for this exercise you don't have to know how to write an if...else if...else block of code in whatever language you are learning, you just have to recognize what it is and write it out in a sort of english-coding hybrid sort of way.
For this, what is your top level of items? It is age. So you start out
`if age < 55
do stuff
else if age >= 55 and age < 80
do different stuff
else
do other stuff`
Then you look at what the next level of the first if statement is using. Here, it is gender. So now you want to add a second level of if statements.
if age < 55
if gender=male
do this
else
do that
else if age >= 55 and age < 80
do different stuff
else
do other stuff
Then look at the third level distinction. This is income level. So you add this step in like so
if age < 55
if gender=male
if annual income >= 10,000 and annual income <= 50,000
tax = 10%
else if annual income > 50,000 and annual income <= 100,000
tax = 20%
else if annual income > 100,000
tax = 30%
else
do that
else if age >= 55 …