Question

question 14 (1 point)
an angle in standard position is 135°. the acute related angle is
a) 45°
b) -225°
c) -45°
d) 225°

Explanation:

Step1: Determine the quadrant of the angle

An angle of \(135^{\circ}\) lies in the second quadrant (\(90^{\circ}<135^{\circ}<180^{\circ}\)).

Step2: Use the formula for the acute related angle (reference angle) in the second quadrant

The formula for the reference angle \(\theta_{r}\) of an angle \(\theta\) in the second quadrant is \(\theta_{r}=180^{\circ}-\theta\).
Substitute \(\theta = 135^{\circ}\) into the formula: \(\theta_{r}=180^{\circ}-135^{\circ}\)

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Answer:

A. \(45^{\circ}\)