Find the Reference Angle 135 degrees

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.

θ′=180−135

4. Subtract the values to find the reference angle.

θ′=45

Final Answer

θ′=45

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