Find the Reference Angle 135

Problem

135^∘

Solution

1. Identify the quadrant in which the given angle θ=135^∘ lies. Since 90^∘<135^∘<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 to calculate the result.

4. Subtract the values to find the reference angle: 180^∘−135^∘=45^∘

Final Answer

θ^′=45^∘

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