Question

find the measures of an angle between 0°and 360° coterminal with an angle of -271° in standard position

Answer 1

We are given angle in standard position as

$\theta=-271$

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

$=\theta +360$

now, we can plug value

co-terminal angle is

$=-271 +360$

$=89$.............Answer