Final answer:
To find the coterminal angle for 920 degrees, subtract 720 degrees. The reference angle is found by subtracting 180 degrees from the coterminal angle if it is in the third or fourth quadrant.
Step-by-step explanation:
To find the coterminal angle for 920 degrees, we need to subtract or add multiples of 360 degrees until we get an angle between 0 and 360 degrees. In this case, we can subtract 720 degrees from 920 degrees to get 200 degrees, which is a coterminal angle. The reference angle, 'a', is the acute angle between the terminal side of the angle and the x-axis. Since 200 degrees is in the third quadrant, the reference angle is 180 degrees - 200 degrees = 20 degrees.