Question

question 16 (1 point)
an angle in standard position is 135°. the acute related angle is
a) 45°
b) 225°
c) -225°
d) -45°

Explanation:

Step1: <Determine the quadrant of 135°>

135° is in the second quadrant ($90° < 135° < 180°$).

Step2: <Use the formula for the related acute angle>

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

Step3: <Calculate the value>

$180^{\circ}-135^{\circ}=45^{\circ}$.

Answer:

A. 45°