## AnaheimNena714 In the rhombus, m(angle)1 = 18x, m(angle)2 = x + y, and m(angle)3 = 30z. Find the value of the variables x, y, and z. The diagram is not drawn to scale.(will post pic. plz explain how found) one year ago one year ago

1. AnaheimNena714

2. AnaheimNena714

anything? it ok if u don't wana answer

3. yun2thejae

you have to setup three equations.

4. yun2thejae

that's why it's taking me a while.

5. AnaheimNena714

oh ok then its fine sorry

6. yun2thejae

x+y+30z=180 30z=18x 19x+y=180 I'm starting with these three. we'll see how it goes.

7. AnaheimNena714

I think they all have to equal to 90 degrees because they look like they have a 90 degree angle

8. yun2thejae

when added together, angles that are next to each other have to equal 180. im working out the problem now. we'll see what i get. it will take me about 10 minutes, is that ok?

9. AnaheimNena714

yeah that's fine no problem

10. mathstudent55

The diagonals of a rhombus are perpendicular. Start with the angle whose measure involves only one variable (x) and solve for that variable (x). Then use that value of x for the one with 2 variables (x and y). Then also solve the one with z.

11. yun2thejae

^there is the initial step of starting the problem. thanks mathstudent 8D

12. mathstudent55

18x = 90 Get x x + y = 90, use known value of x to get y Finally 30z = 90 Get z

13. AnaheimNena714

ok so all I got to do is divide them?

14. mathstudent55

18x = 90, divide both sides by 18 to get x 30z = 90, divide both sides by 30 to get z

15. AnaheimNena714

ok I got x=5,y=85.z=3

16. AnaheimNena714

thank you so much both of u:)

17. yun2thejae

you're welcome. i didn't do much in this problem though xD

18. AnaheimNena714

but u did on the other ones u helped me with 2

19. yun2thejae

Yeah, glad I could help.