The angle 181 degrees is in quadrant 3 (Q3) since it is between 180 and 270. We can rule out choice A as we want angles that aren't in Q3
-179 is coterminal to 181 since 360+(-179) = 181. Which is identical to choice A. We can rule this choice out too. To find coterminal angles, you add or subtract 360
145 is NOT in Q3 since it is not between 180 and 270. So this is the answer
-97 is coterminal to 263 (360+(-97) = 263), so this is in Q3. We can cross choice D off the list
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Answer: Choice C) 145 degrees