Angle 1: angle 2: angle 3: angle 4= 1:2:3:4, so let angle 1 be x degrees, then angle 2, angle 3 and angle 4 are 2x, 3x and 4x in turn.

And because the angles 1, 2, 3 and 4 are all 360 degrees, x+2x+3x+4x=360, so x=36 degrees.

Therefore, the angles 1, 2, 3 and 4 are 36 degrees, 72 degrees, 108 degrees and 144 degrees respectively.

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