Find values of x,y,z in the triangle

Question

anonymous · Answer

attachment

anonymous · Answer

How do I figure this out?

triciaal · Answer

given from the diagram knowing that a straight line is 180 and that angles in a triangle add up to 180 
y + 3 x + 6 = 180
z + (3 x -6) = 180
x + y + z = 180

triciaal · Answer

one approach would be to use substitution for one variable in each of 2 equations then substitute in the other and solve for the unknown. with this value resubstitute to find the others

triciaal · Answer

do you agree with the 3 equations? 
can you continue now?

anonymous · Answer

the second equation is in parentheses, shouldnt be without?

anonymous · Answer

do i just remove the parentheses?

triciaal · Answer

z + 3 x -6 = 180 
in this case it's ok but show if it were -(3x -6) the -outside with the -6  would become a + 6 .

anonymous · Answer

ok but is -6 also to be used as if it was y, I mean doesnt it have to be in order x,y,z?

triciaal · Answer

what you have is an expression for that value
you have 3 variables (x, y and z)
need to use equations (1 and 2 ) and  (1 and 3)  and  (2 and 3) to solve for x, y and z

triciaal · Answer

haven't solve yet but I have z = y + 12 and x + 2y = 168

anonymous · Answer

I will try to solve it and I will get back

triciaal · Answer

ok