Question 199309
Since they are complimentary angles, both add up to 90 degrees.

Let's call <PQR  <X, and <ABC <Y.

X + Y = 90

If X is 9x as large as Y, x=9y

Therefore, we have a system of equations:

X+Y = 90   and    x=9y

If we plug them in, we get:  9Y + Y = 90, which is 10Y = 90

Therefore Y = 9, and if we plug this into x=9y, we get that X = 81