Question

14 multiple choice 1 point which of the following angles is not coterminal with the other three? 349° 169° 709° -11°

Explanation:

Step1: Find coterminal angles

Coterminal angles can be found by adding or subtracting \(360^{\circ}\).
For \(349^{\circ}\):
\(349^{\circ}- 360^{\circ}=-11^{\circ}\)
For \(709^{\circ}\):
\(709^{\circ}-2\times360^{\circ}=709^{\circ} - 720^{\circ}=-11^{\circ}\)

Step2: Check \(169^{\circ}\)

If we try to find a relationship with \(-11^{\circ}\) (or values related to \(349^{\circ}\) and \(709^{\circ}\)) for \(169^{\circ}\):
Let \(169^{\circ}+k\times360^{\circ}=-11^{\circ}\), then \(k\times360^{\circ}=-11^{\circ}-169^{\circ}=-180^{\circ}\), \(k =-\frac{1}{2}\) (not an integer).

Answer:

\(169^{\circ}\) is not coterminal with the other three.