3
QuizMultiple Choice

Angles in Standard Position — Quiz

Question 3 • Mathematics III

Which expression finds the measure of an angle that is coterminal with a 126 degrees angle?

Answer
A
126 degrees plus 720 n degrees , for any integer n
B
126 degrees plus 450 n degrees , for any integer n
C
126 degrees plus 275 n degrees , for any integer n
D
126 degrees plus 375 n degrees , for any integer n

Explanation

Coterminal angles differ by a whole number of full rotations, and one full rotation is 360 degrees. So an angle coterminal with 126 degrees has the form 126 + 360n degrees, where n is an integer. Choice A adds 720n degrees, which is also a whole-number multiple of 360 degrees, so it always gives a coterminal angle.

AI-written and checked against the verified answer.

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