Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Ask your questions and receive precise answers from experienced professionals across different disciplines. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Angle X and Angle Y are complementary angles. Angle X is eight times larger than Angle Y. What are the
measures of Angle X and Angle Y?


Sagot :

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: