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

To find another angle, [tex]y[/tex] such that [tex]x[/tex] and [tex]y[/tex] are coterminal, we need to either add or subtract integral multiples of [tex]360\degree[/tex].

Since the question required that, [tex]x[/tex] is greater than [tex]y[/tex], we just have to add positive integral multiples of [tex]360\degree[/tex].

This implies [tex]x=y+360n[/tex], where [tex]n[/tex] is an integer.

See diagram.

adioabiola adioabiola · Answer 2 · 2022-01-31T18:21:50+01:00

The statement which is true regarding the values of x and y is; x=y+360n , for any positive integer n

Coterminal angles

The algebraic sum of angles at a point is 360°.

According to the question;

Angle x is coterminal with angle y

Additionally, If the measure of angle x is greater than the measure of angle y.

Then, the statement which is correct is; x=y+360n , for any positive integer n

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

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Coterminal angles

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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