Example 1

Sketch each angle in standard position, using a protractor, and state the quadrant in which each angle terminates.

1. \(45^\circ\)
   
   
   Solution

   

   This angle terminates in Quadrant I because \(0^\circ \le \theta < 90^\circ\).

   
   
   
   
2. \(165^\circ\)
   
   
   Solution

   

   This angle terminates in Quadrant II because \(90^\circ \le \theta < 180^\circ\).

   
   
   
   
3. \(220^\circ\)
   
   
   Solution

   

   This angle terminates in Quadrant III because \(180^\circ \le \theta < 270^\circ\).

   
   
   
   
4. \(275^\circ\)
   
   
   Solution

   

   This angle terminates in Quadrant IV because \(270^\circ \le \theta < 360^\circ\).