Question

In which quadrant does the terminal side of a 135° angle in standard position lie?

Answer 1

First quadrant: 0° - 90°
Second quadrant: 90° - 180°
Third quadrant: 180° - 270°
Fourth quadrant: 270° - 360°

So, your answer: second quadrant.

Look at the picture.

Answer 2

Solutions 

The terminal side of an angle in standard position is a ray that has been rotated from the positive (x) axis. 

If the angle measure is positive the rotation is counterclockwise 

If the angle measure is negative the rotation is counterclockwise.  


The angle measure is positive, so the rotation is 135° is counterclockwise. 

Rotate the ray 135° counterclockwise. This rotation puts the terminal side in Quadrant II.