Find the Reference Angle 225 degrees

Problem

225

Solution

1. Identify the quadrant in which the given angle θ=225 lies. Since 180<225<270 the angle is in Quadrant III.

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

3. Substitute the value of θ into the formula to calculate the result.

4. Subtract the values: 225−180=45

Final Answer

θ′=225−180=45

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