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|dw:1435807242985:dw|
The vertices correspond. a-x
b-y
c-z

then you can set angle b = y and solve for x

x = 8? I can't believe I did not see that. It looks so simple now that you've written it...

I've been there many a-time :p

Sorry x =16.

2x=32
x=16 yeah

ABC is congruent to XYZ. A = 50 B = 2x+40, Z = 4x + 8

you can make C = z
then you know that all interior angle triangle angles add up to 180

|dw:1435807481419:dw| Like this?

But I don't have the value of "C"

c is z
remember the congruence statement abc=xyz
a=x
b=y
c=z

|dw:1435807584943:dw|

|dw:1435807613008:dw|
50+2x+40+4x+8=180

that doesn't seem right though

because I don't get an exact number for x

x = 12?

\(6x=82\\x=\dfrac{82}{6}=\dfrac{41}{3}\)

|dw:1435807822974:dw|

6*12 = 72 which leaves 10 remainder

check the angles to make sure they're right

Oh yeah....

or if you can give a fraction as an answer 41/3 is fine

|dw:1435808017048:dw|

this is different. they're similar not congfruent

Is it a ratio thing?

yeah

|dw:1435808243519:dw|

or you could just "cross multiply" but that's unnecessary and not actually a technique technically

x = 5.5?

\(2(x+5)=4x-1\\2x+10=4x-1
\\11=2x\\x=5.5\) looks right

That doesn't work under my answers though, should be
6.33
7.2
5
8

looks like another careless mistake

:D

Life hates me.
x= 8

looks right

similar polygons have equal angles