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Which measure is of an angle that is conterminal with a 95 degree angle

Which measure is of an angle that is conterminal with a 95 degree angle-example-1
User Nighil
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1 Answer

5 votes

Answer: Choice B

95 - 1080n for any integer n

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Step-by-step explanation:

Notice how 1080 is a multiple of 360 since 360*3 = 1080. The other values 1450, 780 and 340 are not multiples of 360. For example 1450/360 = 4.02777 approximately. We need a whole number result to show it is a multiple.

Therefore, choice B shows subtracting off a multiple of 360 from the original angle 95. In my opinion, it would be better to write 95+360n or 95-360n to make it more clear we are adding or subtracting multiples of 360.

Choice B will find coterminal angles, but there will be missing gaps. One missing coterminal angle is 95-360 = -265 degrees. So again, 95-360n is a more complete picture. I can see what your teacher is going for though.

User Mahakaal
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