Question

A student says that the measures of coterminous angles are never opposites of each other. Is the student correct?Explain

Answer 1

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

Answer 2

Answer:

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.