Question 1168167
let x be the smaller angle.
then 9x is the larger angle.


if the angles are complementary, then their sum is 90 degrees.


you get x + 9x = 90


combine like terms to get 10x = 90


solve for x to get x = 9


the smaller angle is 9 degrees.


the larger angle is 9 times that = 81 degrees.


their sum is 90 degrees, confirming the solution is correct.


the solution is that the larger angle measures 81 degrees.