Answer: 100° and 80°
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working:
supplementary angles = angle + angle = 180°
let the larger angle be x
smaller angle = (x/2) + 30
x + ((x/2) + 30) = 180°
(2x + x + 60) / 2 = 180°
3x + 60 = 360°
3x = 300°
x = 100°
Therefore the larger angle is 100°
smaller angle
= (100° / 2) + 30°
= 80°
Therefore, the two supplementary angles are 100° and 80°
