Select all that are measures of angles coterminal with a 145° angle. –575° –215° –145° –35° 215° 415° 505° 865°

ANSWER


EXPLANATION

Coterminal angles are two or more angles in standard position that have the same terminal side.

To find angles that are coterminal with , we keep adding or subtracting multiples of

Let us add first to get,



We add again to get,



Since we reached the highest angle among the options we now subtract.



We subtract the next multiple to get,



This is also the least among the options.

Therefore the angles that are coterminal with 145° are,