1. EXAMPLE 1 Draw angles in standard position Draw an angle with the given measure in standard position. SOLUTION a. 240º a. Because 240º is 60º more than 180º, the terminal side is 60º counterclockwise past the negative x -axis.

2. EXAMPLE 1 Draw angles in standard position Draw an angle with the given measure in standard position. SOLUTION b. 500º b.Because 500º is 140º more than 360º, the terminal side makes one whole revolution counterclockwise plus 140º more.

3. EXAMPLE 1 Draw angles in standard position Draw an angle with the given measure in standard position. SOLUTION c. –50º c.Because –50º is negative, the terminal side is 50º clockwise from the positive x -axis.

4. EXAMPLE 2 Find coterminal angles Find one positive angle and one negative angle that are coterminal with ( a ) –45º and ( b ) 395º. SOLUTION a. –45º + 360º –45º – 360º There are many such angles, depending on what multiple of 360º is added or subtracted. = 315º = – 405º

5. EXAMPLE 2 Find coterminal angles b. 395º – 360º 395º – 2(360º) = 35º = –325º

6. GUIDED PRACTICE for Examples 1 and 2 Draw an angle with the given measure in standard position. Then find one positive coterminal angle and one negative coterminal angle. 1. 65° 2. 230° 425º, –295º 590º, –130º

7. GUIDED PRACTICE for Examples 1 and 2 3. 300° 4. 740° 660º, –60º 20º, –340º