Angle x is coterminal with angle y. if the measure of angle x is greater than the measure of angle y, which statement is true regarding the values of x and y?

x=y-180n , for any positive integer n
x=y-360n , for any integer n
x=y+360n , for any positive integer n
x=y+180n, for any integer n

ANSWER

, for any positive integer .

EXPLANATION

Let be an angle in standard position as shown in the diagram.

To find another angle, such that and are coterminal, we need to either add or subtract integral multiples of .

Since the question required that, is greater than , we just have to add positive integral multiples of .

This implies , where is an integer.

See diagram.

probably the last option

step-by-step explanation: