Answer:
If you know that Angle X and Angle Y are complementary angles, X+Y = 90 
Then we translate the sentence "angle x is 8 times larger than angle Y" into mathematical terms.  is means equal, and 8 times means multiplication.  This gives us our second equation
X = 8Y  
We then use the property of substitution to combine the equations into a solvable system.  if X = 8Y and X + Y = 90, we can say that 8Y + Y = 90.  
combining like terms, we have 9Y = 90.  Y then equals 10.  
We then substitute back into the original X = 8Y to get X = 8*10.  X = 80. 
The final answer is X = 80 degrees and Y equals 10 degrees
Step-by-step explanation: