Complementary angles are pair angles with the sum of 90 degrees. We have Two complementary angles are in the ratio 3:7:
α = 3k
β = 7k
Then:
3k + 7k = 90°
10k = 90
k = 90/10
k = 9
The bigger angle is:
β = 7(9) = 63°
Two Angles are Supplementary when they add up to 180 degrees. Then the supplementary angle for β is:
x = 180 - 63°
x = 117° → ANSWER
