how would you solve for the x,y and z degree? any help is appreciated. thank you.

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- Jan 8th 2006, 06:01 PMCONFUSED_ONESolve for the degree of X,Y and Z.

how would you solve for the x,y and z degree? any help is appreciated. thank you. - Jan 8th 2006, 06:32 PMThePerfectHacker
Use the following theorems,

$\displaystyle 2x+5=x+z$ (1)

$\displaystyle 2x-5=x+y$ (2)

Add these equations,

$\displaystyle 4x=2x+y+z$

Subtract by $\displaystyle 2x$,

$\displaystyle 2x=y+z$

But,

$\displaystyle x+y+z=180$

Thus, (substitute)

$\displaystyle x+2x=3x=180$

Thus,$\displaystyle x=60$

Thus, in the first equation,

$\displaystyle 120+5=60+z,z=65$

Thus,in the second equation,

$\displaystyle 120-5=60+y,y=55$

Thus, $\displaystyle (x,y,z)=(60,55,65)$

Q.E.D. - Jan 16th 2006, 05:42 PMCONFUSED_ONE
Cool. thank you very much!

- Jan 16th 2006, 07:10 PMThePerfectHacker
You are welcomed.