Find the Reference Angle -105 degrees

Problem

−105

Solution

1. Find the coterminal angle between 0 and 360 by adding 360 to the given negative angle.

−105+360=255

2. Determine the quadrant where the angle 255 lies. Since 180<255<270 the angle is in Quadrant III.

3. Apply the reference angle formula for Quadrant III, which is θ′=θ−180

θ′=255−180

4. Calculate the result to find the acute angle formed with the x-axis.

255−180=75

Final Answer

Reference Angle of −105=75

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