Answer:
Step-by-step explanation:
Three angles sum to pi radians
First angle is x
Second angle is x + pi/ 12 ( 15° is pi/12)
Third angle is x + pi/12 + pi / 20
so
x + x + pi/12 + x + pi/12 + pi/20 = pi
3x + 13/60 pi = pi
3x = 47/60 pi
x = 47 pi / 180 Radians = 47 degrees
Second angle = 47 pi / 180 + pi / 12 = 31/90 pi radians = 62 degrees
Third angle = 31/90 pi + pi / 20 = 71/180 pi Radians = 71 degrees