Find the reference angle for the given angle 179 degree 209

Find the reference angle for the given angle. 179 degree -209 degree 299 degree

a) 179 degree

find the quadrant in which the terminal side lies

179 degrees lie between 90 and 180 degrees ( quadrant 2 )

subtract 180 from 179 = 1 degree

hence reference angle is 1 degree

b) -209 degrees

209 degrees lie between 180 and 270

subract 209 from 180 = 29 degree is reference angle

c) 299 degrees

299 degrees lie between 270 and 360 degrees

subtract 360 from 299 = 61 degrees is reference angle