Question

find the reference angle for the angle 145°. the reference angle is □°. (type an integer or a decimal.)

Explanation:

Step1: Determine the quadrant

The angle $145^{\circ}$ lies in the second - quadrant since $90^{\circ}<145^{\circ}<180^{\circ}$.

Step2: Calculate the reference angle

For an angle $\theta$ in the second - quadrant, the reference angle $\theta_{r}=180^{\circ}-\theta$. So, $\theta_{r}=180^{\circ}-145^{\circ}=35^{\circ}$.

Answer:

$35$