Question

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

Answer 1

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

Explanation:

`-126^@`

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

It is III quadrant.

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

Answer 2

`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!