Question

For the given angle, find the coterminal angle such that -360° < θ < 360°.

A) -135°
B) 45°
C) -495°
D) 225°

Answer 1

The coterminal angle within the given range is 45°.

Step-by-step explanation:

The coterminal angle of a given angle is an angle that has the same initial and terminal sides as the given angle but differs by a multiple of 360 degrees. To find the coterminal angle within the given range of -360° to 360°, we can add or subtract multiples of 360° from the given angle until we get an angle within the range.

For example, if the given angle is 135°, we can subtract 360° from it to get -225°, which is within the range. Therefore, the coterminal angle of 135° within the given range is -225°.

Applying this method to the answer choices, we find that the coterminal angle within the given range is B) 45°.