10
QuizMultiple Choice

Angles in Standard Position — Quiz

Question 10 • Mathematics III

Which expression finds the measure of an angle that is coterminal with a 45 degrees angle?

Answer
A
45 degrees plus 90 degrees
B
45 degrees plus 360 degrees
C
45 degrees plus 270 degrees
D
45 degrees plus 180 degrees

Explanation

Coterminal angles differ by a whole-number multiple of 360 degrees, which is one full rotation. Adding 360 degrees to 45 degrees gives 405 degrees, so “45 degrees plus 360 degrees” finds a coterminal angle. The other choices add less than a full rotation and do not end at the same side.

AI-written and checked against the verified answer.