Question

which of the following angles is not coterminal with the other three?
349°
169°
709°
-11°
15
multiple choice 1 point
find the measure of an angle between 0° and 360° coterminal with an angle of -60° in standard position.
30°
60°
300°
120°

Explanation:

Step1: Find coterminal angles

Coterminal angles are found by adding or subtracting multiples of \(360^{\circ}\).
For \(-11^{\circ}\), \(- 11^{\circ}+360^{\circ}=349^{\circ}\).
For \(709^{\circ}\), \(709^{\circ}-360^{\circ}=349^{\circ}\).
\(169^{\circ}\) cannot be adjusted by adding or subtracting \(360^{\circ}\) to get \(349^{\circ}\).

Step2: Solve for \(-60^{\circ}\) coterminal angle

For \(-60^{\circ}\), \(-60^{\circ}+360^{\circ}=300^{\circ}\).

Answer:

First question: \(169^{\circ}\) is not coterminal with the other three.
Second question: \(300^{\circ}\) is coterminal with \(-60^{\circ}\) between \(0^{\circ}\) and \(360^{\circ}\).