Question

Find the reference angles for the following given angles below.

1) 30 degrees
2) 50
3)140 degrees
4) 310 degrees
5) 220 degrees

Answer 1

The reference angles for the given angles are 30 degrees, 40 degrees, 50 degrees, 40 degrees, and 40 degrees.

Step-by-step explanation:

The reference angles for the given angles are:

1. 30 degrees: The reference angle is 30 degrees because it falls within the first quadrant.
2. 50 degrees: The reference angle is 40 degrees because it is the acute angle formed with the x-axis in the second quadrant.
3. 140 degrees: The reference angle is 40 degrees because it is the acute angle formed with the x-axis in the third quadrant.
4. 310 degrees: The reference angle is 50 degrees because it is the acute angle formed with the x-axis in the fourth quadrant.
5. 220 degrees: The reference angle is 40 degrees because it is the acute angle formed with the x-axis in the third quadrant.