How do i find the four angles in different quadrants with the given reference angle 15 degrees

  15°, 165°, 195°, 345°

Step-by-step explanation:

The reference angle, 15°, is the smallest angle the terminal ray makes with the x-axis. In the first and fourth quadrants, the positive x-axis is the reference line. The angles will be ±15°, or 360°-15° = 345° if you require all angles to be positive.

In the second and third quadrants, the negative x-axis is the reference. That is 180°, so the reference angle will be added to or subtracted from 180° to give 165° or 195°.