Which of the following represents the measures of all angles coterminal with a –220° angle? 360 + 140n, for any whole number n 360 + 140n, for any integer n 140+ 360n, for any whole number n 140 + 360n, for any integer n

140+ 360 n, for any integer number n, will represent the measurement of all angles co-terminal with a -220° angle.

Explanation:

Since,  Co-terminal angles are angles who shares the same initial line or terminal side. And, obtained after adding or subtracting 360° from the given angles.

Here, given angle is -220° then its one positive co-terminal angle= -220°+360=140°

Thus, 140° is a positive co-terminal angle of -220°.

Therefore, co-terminal angle must be the type of 140°+360° n,

where n is an integer. ( because the angle co-terminal to 140° must be co-terminal to -220°)

For negative integer the above expression gives negative co-terminal angle of -220° and for positive integer it gives positive co-terminal angle of -220°.

the answer is D!