A student says that the measures of coterminal angles are never opposites of each other. Is the student correct? Explain.
The student is incorrect. For two angles to be coterminal, the difference between their measures must be a multiple of 360°. If we consider the measures 180° and -180°, these two values are opposites of each other. The difference between them is 180° - (-180°) = 360°, which is a multiple of 360°. Therefore, 180° and -180° are coterminal angles that are opposites, proving the student's statement is false.
Which did you include in your response?The student is not correct.For angles to be coterminal, the difference between their measures must be a multiple of 360°.The difference between 180° and –180° is 360°.Angles with measures 180° and –180° are coterminal.
Select all that are measures of angles coterminal with a 145° angle.
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-470
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970
An angle whose measure is –405° is in standard position. In what quadrant does the terminal side of the angle fall?
Select all that are measures of angles coterminal with a 145° angle.
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