Find the Reference Angle 220

Problem

220^∘

Solution

1. Identify the quadrant in which the given angle θ=220^∘ lies. Since 180^∘<220^∘<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. Subtract the values to find the reference angle.

220^∘−180^∘=40^∘

Final Answer

θ^′=40^∘

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