Question

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

Explanation:

Step1: Recall the definition of coterminal angles

Coterminal angles are angles that have the same initial and terminal sides. The general formula for coterminal angles is \(x = y+360n\), where \(n\) is an integer.

Step2: Consider the condition \(x>y\)

Since \(x>y\), we need \(360n>0\). When \(n\) is a positive integer, \(360n>0\).

Answer:

\(x = y + 360n\), for any positive integer \(n\) (the third option).