9. If two complementary angles are in the
ratio 3:7, find the supplement of the
bigger angle.

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°

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