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.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.