Angle X and Angle Y are complementary angles. Angle X is 8 times larger than Angle Y. Write a system and solve to find the measurement of Angle X and Angle Y.

Question

(NOTE: Complementary angles add up to 90^o

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

Answer 2

Complementary angles add up to 90^o and x is 8 times larger than y,

so x + y = 90 and x = 8y

Substituting the x in the first equation,

8y + y = 90

9y = 90

y = 10^o

Substituting y in the second equation,

x = 8 * 10

x = 80^o

Answer 3

Mellisa,

As you know, when two angles are complementary it means sum of them are 90 degree.

x+y= 90

x = 8y

now you need to solve this system

there are many method for solving in this case the best method is substitute

x+y= 90

8y+y = 90

9y =90

y = 10

x= 8y

x= 8*10 = 80 degrees

I hope it is useful,

Minoo

Answer 4

X+Y = 90

X = 8Y

8Y + Y = 90

9Y = 90

Y=10

80 and 10

Answer 5

8y+y=90

9y=90

y=10

x=81

Answer 6

Hello Melissa,

x + y = 90

x = 8y

From here, substitute 8y for x in the first equation to get 9y = 90.

Don't forget to solve for x after you get the value for y.

Regards,

Anita A.

Answer 7

x + y = 90

x = 8y

8y + y = 90

9y = 90

y =10

Answer 8

X+Y=90 X=8Y

substitute 2nd equation into 1st

8Y+Y=90

9Y=90

Y=90/9=10 degrees

X=8Y=8(10)=80 degrees