A positive angle less than \( 360^{\circ} \) that is coterminal to \( -182^{\circ} \) is \( \square \)
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Beyond the Answer
To find a positive angle that is coterminal with \(-182^{\circ}\), you can add \(360^{\circ}\) (the full rotation) to the negative angle. So, \(-182^{\circ} + 360^{\circ} = 178^{\circ}\). Therefore, \(178^{\circ}\) is a positive angle less than \(360^{\circ}\) that is coterminal with \(-182^{\circ}\). Additionally, it’s fascinating to know that coterminal angles are not just useful in basic geometry; they pop up in various applications such as navigation and architecture, where angles can vary but need to represent the same direction or position. So next time you're working with angles, remember you have a whole family of coterminal buddies at your disposal!