# How do you find the reference angle for the angle -126 degrees?

Jun 29, 2018

color(red)(54^@ is the reference angle.

#### Explanation:

$- {126}^{\circ}$

$\implies - 126 + 360 = {234}^{\circ}$

$\therefore 234 - 180 = {54}^{\circ}$ is the reference angle.

Jun 29, 2018

${54}^{\circ}$

#### Explanation:

Reference angles are the measure between a given angle and the $x$-axis.

Since the $x$-axis is essentially an ${180}^{\circ}$ degree angle, we can subtract the absolute value of the given angle from this to find the reference angle.

We get the following:

$180 - | - 126 | = 180 - 126 = {54}^{\circ}$

Hope this helps!