Answer:
148.3° and 31.7°
Explanation:
Supplementary angles add up to 180°
Let x represent the angle we are trying to find
Let y represent the supplementary angle of x
We have x + y = 180 [1]
We are given
x - y = 116.6 [2]
Add both equations. [1] + [2]
x + y + x - y = 180 + 116.6
2x = 296.6
x = 296.6 / 2 = 148.3
y = 180 - 148.3 = 31.7
Therefore the two angles measure 148.3° and 31.7°
Check:
148.3 - 31.7 = 116.6