Question

use the diagram below to help you name an angle between 0° and 360° that is coterminal with the angle - 180°. y 90° 120° 60° 135° 45° 150° 30° 180° (1, 0) 0° x 360° 210° 330° 225° 315° 240° 380° 270°

Explanation:

Step1: Recall coterminal - angle formula

Coterminal angles are found by adding or subtracting multiples of 360°. We want to find an angle $\theta$ between 0° and 360° such that $\theta=- 180^{\circ}+360^{\circ}n$, where $n$ is an integer.

Step2: Choose the value of n

If we take $n = 1$, then $\theta=-180^{\circ}+360^{\circ}\times1$.
$\theta=-180^{\circ}+360^{\circ}=180^{\circ}$

Answer:

180