Question

which angle is coterminal with -250°? 370° 110° -490°

Explanation:

Step1: Recall the formula for coterminal angles

Coterminal angles can be found by the formula \(\theta + n\times360^{\circ}\), where \(n\) is an integer.

Step2: Check for \(n = 1\)

For \(\theta=- 250^{\circ}\), when \(n = 1\), we have \(-250^{\circ}+360^{\circ}=110^{\circ}\)

Step3: Check other options

For \(370^{\circ}\): Let \(-250^{\circ}+n\times360^{\circ}=370^{\circ}\), then \(n\times360^{\circ}=370^{\circ}+250^{\circ}=620^{\circ}\), \(n=\frac{620}{360}=\frac{31}{18}
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For \(-490^{\circ}\): Let \(-250^{\circ}+n\times360^{\circ}=-490^{\circ}\), then \(n\times360^{\circ}=-490^{\circ}+250^{\circ}=-240^{\circ}\), \(n =-\frac{2}{3}
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Answer:

\(110^{\circ}\)