explain the relationship that conterminal angles have with each other

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Answer 1

Coterminal angles of an angle measuring x degrees are angles that have measurements (x + any integer multiple of 360 degrees), i.e. one or more (whole number) extra full revolutions before landing exactly on the terminal side of an angle.  (In fact, 0⁰ and 360^o are coterminal; another example: 45^o and 405^o)

Answer 2

To understand coterminal angles, begin with a standard x-y graph. Coterminal angles begin with the positive x axis. The side of the angle that is the x axis is called the initial side. The other side of the angle is called the terminal side. The measure of the angle can be made by moving in a clock wise or counter clock wise direction.