finnd a possible measure of the angle drawn in standard position that passes through the points (�ã2,-�ã2)

If the corrupted characters mean √ (copy/paste from anything but plain text can be iffy) then we want the angle which passes through (√2,-√2)

That means tanx = -1
In QI, tan pi/4 = 1, so we must use
x = pi + pi/4 = 5pi/4

extra credit: since the angle is obviously 5pi/4, why do they use the wording "a possible measure"? How could it be anything else?