Need more help! will again fan and medal anyone who helps!!
find the value of x. This diagram is not to scale

- anonymous

- katieb

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- anonymous

not a multiple choice can you just show me how to do it here is the diagram

##### 1 Attachment

- DanJS

which is X, i dont see it on there

- anonymous

can either of you help @DanJS or @open_studier

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- anonymous

oops hold on there's an equation

- anonymous

Given:

- DanJS

ok, you need to know that the sum of the three angles in any triangle is 180 and the sum of the angles that make up a straight line is also 180

- anonymous

Yes, I get that but how do I put that into this problem?

- DanJS

|dw:1443217408787:dw|

- DanJS

They say SRT and STR are congruent, or the same angle, and they tell you one of the values

- anonymous

okay so would 4x=140

- DanJS

Angles that make up a straight line total 180, supplimentary angles
STU + STR = 180

- anonymous

okay so instead of looking at this like a triangle I should look at this like its two angles that are supplementary?

- DanJS

you can look at it a few different ways, the short way i just did it was to realize
STU + STR = 180
20 +4x = 180
4x = 160
x = 40

- DanJS

or if you want to use the fact that all 3 angles in a triangle add to 180 you can draw this ...

- anonymous

but wouldn't it be 40+4x=180?

- anonymous

oh wait I see because your only involving one of the angles, thanks!!!

- DanJS

|dw:1443217760568:dw|

- anonymous

yeah that looks confusing but thanks I got it now!!!

- DanJS

yeah, or you can draw that second line parallel to U, and use alternate interior angles are equal, the transversal is ST

- anonymous

yeah i see thanks

- DanJS

welcome

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