Answer:
angle 1 = 54° because this angle is a vertical angle of 54°, and vertican angles are always the same.
angle 2 = 126° because straight line = 180°, and there we have 54°, so 180-54=126°
angle 3 = 126° because this angle is vertical angle to 126°
angle 4 = 121° because this angle is alternative interior angle of the sum of the angles 12(54) and 67°
angle 5 = 59° because angle 5 and angle 4 makes a straight line, staring line = 180°, and 180°-angle 4(121°)= 59°
angle 6 = 121° because this anle is vertican angle of 121°
angle 7 = 59 because this angle is vertical angle of 59°
angle 8 = 59° because this angle is corresponding to angle 5 (59°), and corresponding angles are always the same
angle 9 = 54° because this angle is corresponding angle to 54°
angle 10 = 67 because angle 10, 9 and 8 creates straight line, straight line = 180°, angle 9(54) + angle 8(59)=113, and 180°-113°=67°, that means that angle 10 = 67°
angle 11 = 59 because this angle is corresponding to angle 7 (59°)
angle 12 = 54° because this angle is corresponding angle to angle 1 (54°)
that is it :)