# How do you draw the angle in standard position, find the reference angle, and find a positive coterminal angle and a negative coterminal angle for -135°?

Aug 2, 2015

Positive co-terminal ${225}^{o}$
Negative co-terminal $- {495}^{o}$

#### Explanation:

Reference angle in any of the quadrants is an acute angle measured with reference to x axis. In the Ist quadrant any angle is its own reference angle.

Positive angles are measured in anticlockwise direction, starting with positive x axis. Negative angles are measure in clockwise direction in the same way.

Angle $- {135}^{o}$ would be measured in clockwise direction starting with positive x axis and would lie in IIIrd quadrant. Its co-terminal angle would be ${225}^{o}$ measured in counterclock wise direction starting with positive x-axis.

Angle $- {495}^{o}$ would be the negative co-terminal angle.