Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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:

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.