Question

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?

Answer 1

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

Explanation: