Question

question 35 (1 point)
an angle in standard position is 135°. the acute related angle is
a) 225°
b) -225°
c) 45°
d) -45°

Explanation:

Step1: Determine the quadrant of the angle

Since \(90^{\circ}<135^{\circ}<180^{\circ}\), the angle \(135^{\circ}\) is in the second quadrant.

Step2: Calculate the acute related angle

For an angle \(\theta\) in the second quadrant, the acute related angle \(\alpha\) is given by \(\alpha = 180^{\circ}-\theta\). Substituting \(\theta = 135^{\circ}\), we get \(\alpha=180^{\circ}- 135^{\circ}=45^{\circ}\)

Answer:

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