Question

Which expression can be used to determine the reference angle for an angle, x, measuring 150°?

Answer 1

Answer:

Step-by-step explanation:

Given  

Which expression can be used to determine the reference angle for an angle, x, measuring 150°?

We know that quadrants and angles are  

First quadrant is 0 to 90 degree

Second quadrant is 90 to 180 degree

Third quadrant is 180 to 270 degree

Fourth quadrant is 270 to 360 degree

Now the reference angles are as follows

First quadrant Reference angle is theta

Second quadrant Reference angle is 180 – theta

Third quadrant Reference angle is theta – 180

Fourth quadrant Reference angle is 360 – theta

We have the angle given as 150 degree, so the angle lies in second quadrant. So subtracting 180 - theta = 180 – 150 = 30 degree.

So Reference angle will be 30 degree