We are given angle in standard position as
[tex]\theta=-271[/tex]
we know that one complete rotation is 360
so, to find angle between 0 and 360
so, we will add 360 to get co-terminal angle
so, co-terminal angle is
[tex]=\theta +360[/tex]
now, we can plug value
co-terminal angle is
[tex]=-271 +360[/tex]
[tex]=89[/tex].............Answer
