Question

7 multiple choice 1 point which of the following angles is not coterminal with the other three? 660° 300° 120° -60° 8 multiple choice 1 point which of the following angles is not coterminal with the other three? -287° 433° 73° 107°

Explanation:

Question 7

Step1: Find coterminal angles

Coterminal angles differ by \(360^{\circ}n\), \(n\in\mathbb{Z}\).
For \(660^{\circ}\): \(660^{\circ}-360^{\circ} = 300^{\circ}\).
For \(- 60^{\circ}\): \(-60^{\circ}+360^{\circ}=300^{\circ}\).

Step2: Check \(120^{\circ}\)

\(120^{\circ}
eq300^{\circ}+360^{\circ}n\) for any integer \(n\).

Step1: Find coterminal angles

For \(-287^{\circ}\): \(-287^{\circ}+360^{\circ} = 73^{\circ}\).
For \(433^{\circ}\): \(433^{\circ}-360^{\circ}=73^{\circ}\).

Step2: Check \(107^{\circ}\)

\(107^{\circ}
eq73^{\circ}+360^{\circ}n\) for any integer \(n\).

Answer:

\(120^{\circ}\)

Question 8