Question

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

Explanation:

Step1: Determine the quadrant

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

Step2: Calculate the acute related angle

The formula for the acute related angle (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: \(\theta_{r}=180^{\circ}- 135^{\circ}=45^{\circ}\)

Answer:

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