Understanding Angles in Standard Position with Examples

TLDR; Determining angles of rotation in standard position, including positive and negative angles, with examples.

An angle in standard position has its initial side along the positive X-axis and the terminal side determines the rotation.

The arrow in standard position indicates the amount of rotation, such as starting at 0 degrees and rotating to form a 90-degree angle.

Changing the arrow changes the measure of the angle, for instance, a rotation of 360 degrees plus another 90 degrees results in a 450-degree angle.

Clockwise rotation yields negative angles, such as -180 degrees followed by -90 degrees resulting in a -270-degree angle.

Another example includes a complete revolution clockwise of -360 degrees followed by another -225 degrees, resulting in a total of -585 degrees.

Counterclockwise rotation leads to positive angles, like a 90-degree rotation followed by about 45 degrees resulting in a 135-degree angle.

Another example involves a 180-degree rotation followed by a 60-degree rotation, resulting in a 240-degree angle.

A clockwise rotation resulting in -90 degrees followed by another -30 degrees yields an angle measure of -120 degrees.