Find the Reference Angle 111

Problem

111^∘

Solution

1. Identify the quadrant in which the given angle θ=111^∘ lies. Since 90^∘<111^∘<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. Subtract the given angle from 180^∘ to find the result.

180^∘−111^∘=69^∘

Final Answer

θ^′=69^∘

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