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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