Question

find the reference angle for the angle 135°.the reference angle is □°.(type an integer or a decimal.)

Explanation:

Step1: Determine the quadrant of 135°

135° is between 90° and 180°, so it is in the second quadrant.

Step2: Use the formula for reference angle in second quadrant

For an angle \(\theta\) in the second quadrant (\(90^\circ<\theta<180^\circ\)), the reference angle \(r\) is given by \(r = 180^\circ-\theta\).
Substitute \(\theta = 135^\circ\) into the formula: \(r=180^\circ - 135^\circ\)

Step3: Calculate the result

\(180 - 135 = 45\)

Answer:

45