- anonymous

HELP PLEASEEEE =(
What is a in terms of b and y?
a. b+y+65
b. b-y+65
c. b+y+75
d. b-2y+45
e. b-y+75

- chestercat

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- nincompoop

where is your original equation?

- anonymous

|dw:1439572787323:dw|

- nincompoop

we know that a + y = 180
we can start our exposition from here

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## More answers

- anonymous

whats the next step

- nincompoop

slow down, I am at work lol

- anonymous

where do u work

- nincompoop

oh right you're doing gre... ask someone else if you're in a time crunch

- nincompoop

|dw:1439574194246:dw|

- anonymous

i dont get it

- anonymous

ingenious @nincompoop

- zmtgaminghd

its a

- anonymous

I have every confidence in @nincompoop and I like the approach, of course a + y =180 (straight angle). good starting point.

- anonymous

so what next

- anonymous

@yomamabf what you basically have is two equations (two triangles)

- freckles

|dw:1439575651614:dw|

- freckles

another thing you might want to use along with the equations poop pointed out
is that x+y=90

- anonymous

hi @freckles, I teach the stuff, and that isnt broken down enough for me!

- anonymous

how do we kno that's a b inside on the other side of the b

- freckles

@BPDlkeme234 I wasn't trying to solve it for her

- freckles

I was pointing out useful information

- freckles

that she could use to solve it

- freckles

what do you mean @yomamabf

- anonymous

|dw:1439575867408:dw|

- freckles

I use the same variable poop used
called it b'

- anonymous

Hi @ yomambf, basically what you do is start from what you know. What they are saying is, you know that the sum of the angles in a straight angle is 180 degrees (i.e. a + y)

- freckles

|dw:1439575943969:dw|

- freckles

you can call it something other than that
I just didn't want to change all the equations already pointed out

- anonymous

i usually really like geometry but im confused

- anonymous

Are you listening a + y = 180 degrees ( a straight angle [ i.e. angle of 180 degrees])

- anonymous

okay and?

- freckles

|dw:1439576026035:dw|
you were given these equations:
\[b'=180-(x+10)-(y+5) \\ b'=180-x-10-y-5 \\ b'=(180-10-5)-(x+y) \\ \text{ recall we also have } x+y=90\]

- freckles

can you find b'?

- anonymous

|dw:1439576122047:dw|

- anonymous

we are saying b degrees plus b' (the angle inside the triangle next to b is also 180 degrees ( a straight angle)

- anonymous

|dw:1439576211471:dw|

- anonymous

|dw:1439576256448:dw|

- anonymous

@nimcompoop and @freckles described it as b = 180 - b' (@freckles using original equations by @nimcompoop)

- anonymous

got it nvm this was super easy i followed the rule that |dw:1439576326648:dw|

- anonymous

exterior angle equal to the sum of the two interior opposite angles

- anonymous

what was the method u guys were talking about

- anonymous

All that @freckles said was if
b + b' = 180
and the sum of all the angles in the triangle equals 180 degrees then
b' + (x + 10) + (y+5) must equal 180 degrees

- anonymous

yea i got that what's next

- anonymous

what about the other triangle, did you get that?

- anonymous

yea its a = 90+x

- freckles

this is where I was going:
|dw:1439576736012:dw|
\[b'=180-(x+10)-(y+5) \\ b'=180-x-10-y-5 \\ b'=(180-10-5)-(x+y) \\ \text{ recall we also have } x+y=90\]
\[b'=165-90 \\ b'=75 \\ \text{ now realize } \\ y+a=b+b' \\ y+a=b+75 \\ \text{ then solve for } a \\ a=b-y+75\]

- anonymous

whered the 165 come from

- anonymous

so, firstly expres b in tems of x and y

- freckles

180-10-5

- anonymous

got it thanks

- anonymous

Well done @freckles!

- nincompoop

The simplest exposition (minus all the details), would be
a+y = 180
b + b' = 180
so
a+y = b+b'
we want to solve for a, then it follows
a = b+b' -y
the rest of the details can be plugged in from the information of the other triangle containing b'

- nincompoop

haha I didn't even notice that the other triangle was a right-triangle
I am not sure if there is such a rule |dw:1439579564602:dw|

- anonymous

there is

- nincompoop

whatever rule it is, can be figured out without any prior knowledge of it.

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