14
practice testMultiple Choice

Practice Test

Question 14 • Mathematics III

Which measure is of an angle that is coterminal with a 95 degrees angle?

Answer
A
95 degrees minus open paren 1 comma 450 n close paren degrees , for any integer n
B
95 degrees minus open paren 1 comma 080 n close paren degrees , for any integer n
C
95 degrees minus 780 n degrees , for any integer n
D
95 degrees minus 340 n degrees , for any integer n

Explanation

Angles are coterminal when their measures differ by a whole-number multiple of 360 degrees. Since 1,080 = 3 × 360, subtracting 1,080n degrees from 95 degrees changes the angle by a whole number of full rotations for any integer n. Therefore, choice D, 95 degrees minus 1,080n degrees, is coterminal with 95 degrees.

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