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

2 Answers

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

Explanation:

#-126^@#

#=> -126 + 360 = 234^@ #

It is III quadrant.

#:. 234 - 180 = 54^@# is the reference angle.

Jun 29, 2018

#54^@#

Explanation:

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

Since the #x#-axis is essentially an #180^@# 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^@#

Hope this helps!