Find the Reference Angle 160 degrees

Problem

160^∘

Solution

1. Identify the quadrant in which the given angle θ=160^∘ lies. Since 90^∘<160^∘<180^∘ the angle is in Quadrant II.

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

3. Substitute the value of the angle into the formula.

θ^′=180^∘−160^∘

4. Subtract the values to find the reference angle.

θ^′=20^∘

Final Answer

θ^′=20^∘

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