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 minus 180 n, for any positive integer n x = y minus 360 n, for any integer n x = y 360 n, for any positive integer n x = y 180 n, for any integer n.

Respuesta :

Given that x is greater than y, we have that the rotation of the terminal side of both x and y are in the same direction.

The statement that is true regarding the value of x and y is the option;

  • x = y + 360° for any positive integer n

Reasons:

Coterminal angles are angles that have the same initial side and the same terminal side.

The given options are;

x = y - 180°·n, for any positive integer n

x = y - 360°·n, for any integer n

x = y + 360°·n, for any positive integer n

x = y + 180°·n, for any integer n

Given that we have;

Angle x is coterminal with angle y

x > y

Therefore;

When x + y = 360, we get;

x = 360° - y, where x is negative (x < y)

For x > y, we have;

x = y + 360°

The general solution is therefore; x = y + 360°·n

Where n is a positive integer

Therefore;

The statement that is true regarding the values of x and y is the option;

x = y + 360°·n for any positive integer n.

Learn more about types of angles here:

https://brainly.com/question/12591450

Answer:

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

Step-by-step explanation:

Did on edge :)