Determine whether the angles in the given pair are coterminal 135 degrees and 895 degrees
To determine if two angles are coterminal, we need to check if they have the same initial side and terminal side.
In this case, the initial side of both angles is the rightward position on the positive x-axis.
The terminal side of 135 degrees would be obtained by rotating 135 degrees counterclockwise from the initial side.
The terminal side of 895 degrees would be obtained by rotating 895 degrees counterclockwise from the initial side.
To simplify the angles, we can subtract multiples of 360 degrees until we get an angle less than or equal to 360 degrees.
135 degrees - 360 degrees = -225 degrees.
-225 degrees + 360 degrees = 135 degrees.
Since we obtained 135 degrees again after subtracting and adding multiples of 360 degrees, we can conclude that the angles 135 degrees and 895 degrees are coterminal.