Question

Which represents the measures of all angles coterminal with a 400 angle

Answer 1

C) 40 + 360n, for any integer, n

The next question is: A student says that the measures of co-terminal angles are never opposites of each other. Is the student correct? Explain.

Answer: A student says that the measures of co-terminal angles are never opposites of each other, the student is wrong because co-terminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side. For example 30° , −330° and 390° are all co-terminal.

Answer 2

C. 40 + 360n, for any integer, n

Explanation

Conterminal angles are angles in standard position that have a common terminal side. For example, 30, -330 and 390 are all coterminal. This is to say that -305 angle and a 415 angle are coterminal with a 55 angle. For all angles coterminal with 400 angle, 40 + 360n , for integer , n will give the correct measure.