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Geometry 12 Online
OpenStudy (anonymous):

I need help. I am stuck on this question. What is the value of x? 10 Degrees 120 Degrees 25 Degrees 30 Degrees Here is the link to the angles they are reffering to. http://imgur.com/FB1oG8r Thanks in advanced.

ganeshie8 (ganeshie8):

do you see small red arrow marks on two lines ?

ganeshie8 (ganeshie8):

wat do they tell about the lines ?

OpenStudy (anonymous):

Yes I do. That means they are parallel?

ganeshie8 (ganeshie8):

Yes !! those two horizontal lines are parallel

ganeshie8 (ganeshie8):

and the cutting vertical lines are transversals

ganeshie8 (ganeshie8):

use this :- same side interior angles add up to 180

ganeshie8 (ganeshie8):

(x+30) + 4x = 180 solve x

ganeshie8 (ganeshie8):

does that make some sense ? :)

OpenStudy (anonymous):

So I add x + 30 and it becomes 30x?

ganeshie8 (ganeshie8):

No, you cant add apples and coconuts !

OpenStudy (anonymous):

Add x + 4x?

ganeshie8 (ganeshie8):

Yes :)

OpenStudy (anonymous):

Sorry I am not good with math but thats why I am here. So I can learn.

ganeshie8 (ganeshie8):

you're good, i can see....

ganeshie8 (ganeshie8):

(x+30) + 4x = 180 combine like terms x + 4x + 30 = 180

ganeshie8 (ganeshie8):

simplify

ganeshie8 (ganeshie8):

and solve x

OpenStudy (anonymous):

Thank you. So that becomes 4x + 30 = 180? Then subtract 30 from each side to get 4x = 150?

ganeshie8 (ganeshie8):

exactly !!

ganeshie8 (ganeshie8):

after that divide 4 both sides, to get the x

OpenStudy (anonymous):

Division property of equality to get 37.5?

ganeshie8 (ganeshie8):

\(\huge \color{red}{\checkmark}\)

ganeshie8 (ganeshie8):

wait a second,

ganeshie8 (ganeshie8):

(x+30) + 4x = 180 combine like terms x + 4x + 30 = 180 5x + 30 = 180 5x = 150 x = 10

ganeshie8 (ganeshie8):

we should get x=10

OpenStudy (anonymous):

And do I even worry about the 5x - 25 or do I do the same thing above just with x + 30 and the 5-25?

ganeshie8 (ganeshie8):

we dont need to worry about that :)

ganeshie8 (ganeshie8):

make sure, you see u get x = 10

OpenStudy (anonymous):

So the x in x + 30 is 1 then add that to 4x gets 5x?

ganeshie8 (ganeshie8):

Exactly !!

ganeshie8 (ganeshie8):

\(x\) is same as \(1x\)

OpenStudy (anonymous):

Cool! Alot easier than I thought. Thank you so much! And Im not sure how to give a medal to you.

ganeshie8 (ganeshie8):

glad to hear u nailed it ! and Welcome to Openstudy :) its okay, you will get to learn the site in no time... its very userfriendly... Have fun !!

ganeshie8 (ganeshie8):

when u have time, just go thru the honor code http://openstudy.com/code-of-conduct

OpenStudy (anonymous):

Thanks!

ganeshie8 (ganeshie8):

np :)

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