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