Find the Reference Angle 275 degrees

Problem

275

Solution

1. Identify the quadrant in which the given angle θ=275 lies. Since 270<275<360 the angle is in Quadrant IV.

2. Apply the formula for the reference angle θ′ in Quadrant IV, which is θ′=360−θ

3. Substitute the value of the angle into the formula to calculate the result: 360−275

4. Simplify the subtraction to find the reference angle.

Final Answer

θ′=360−275=85

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