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pratu043
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In the given figure, AB divides DAC in the ratio 1:3 and AB = DB. Calculate the unknown angles.
 2 years ago
 2 years ago
pratu043 Group Title
In the given figure, AB divides DAC in the ratio 1:3 and AB = DB. Calculate the unknown angles.
 2 years ago
 2 years ago

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pratu043 Group TitleBest ResponseYou've already chosen the best response.0
dw:1342757653054:dw
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
@lgbasallote please help!!
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
dw:1342757791245:dw just presenting a drawing first so i can visualize it
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
I figured out that angle ADB = y.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
how did you figure that out?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
oh i see
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Because triangle ABD is isosceles.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
dw:1342757924763:dw
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
And how did you get DB = 3a and BC = a?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
it says the ratio is 1:3
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Ratio is 1:3 for the angle DAC.
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
That means t = 3a and y = a.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
y + y + t + 90 = 180 2y + t = 90 do you see this?
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
How did you get x = 90 degrees? I know it looks like that but i doesn't say so in the question.
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Yes, I got that.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
according to your triangle it's a right triangle
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
I might be slightly greater or lesser that 90 right?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
dw:1342758203033:dw y + y + m = 180 t + 90 + n = 180 m + n = 180
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
what do you mean?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
do you have the *real* drawing??
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
this drawing is getting confusing :(
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Yes, but it is in the form of a worksheet that I got in school(it is not in the electronic form).
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
I'll try drawing again then, just a minute.
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
dw:1342758349890:dw
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
dw:1342758495805:dw For convenience.
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
The question given along with the drawing is the original one at the top and as you can see, there's nothing saying x is a right angle.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
dw:1342758686754:dw a + a + x = 180 n + 3a + x = 180 a + a + m = 180 m + n = 180 do you see these?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
so you have 4 unknowns and 4 equations. we can use systems of linear equations
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Yeah, but I only know how to solve system of equations with 2 variables.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
i wrote one wrong...should be a + (a+3a) + x = 180
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
So 5a + x = 180
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
a + a + 3a + x = 180 >1 n + 3a + x = 180 > 2 a + a + m = 180 >3 m + n = 180 > 4 yes
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
let's simplify everything first 5a +x = 180 n + 3a + x = 180 2a + m = 180 m + n = 180
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
OK. What next?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
now we subtract equation 2 from equation 1 5a + x = 180  3a + x + n = 180 =========== 2a + 0 + n = 0 =========== 2a + n = 0 =========== 2a = n
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
^that would be equation 5
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Shouldn't it be 2a = n? Because 0  n would be n and but you wrote n.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
uhmm yeah you're right 2a = n
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
So a = n/2. Or we can use n = 2a in one of the equations?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
2a = n is the 5th equation
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
5a +x = 180 n + 3a + x = 180 2a + m = 180 m + n = 180 2a = n
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
now look at m + n = 180 i can also say n = 180  m <i'll substitute this into the 2nd equation n + 3a + x = 180 180 m + 3a + x = 180 3a  m + x = 0 <6th equation
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Are you sure this is 9th standard level? Because our math teacher hasn't taught us this yet. We have only reached linear equations in two variables.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
well...x is not 90 degrees....
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
it's seriously complicated
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
dw:1342759662640:dw
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
if x were 90 then i assume the right triangle postulates and theorems could be applied
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
or maybe im just doing something wrong here...
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
@dpaInc
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Angle ABC = 180  (3a + x).
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
a + 4a + x = 180 or 5a + x = 180
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
This is still not getting us anywhere ....
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
dw:1342759792383:dw
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Is it possible to get x in terms of a ?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.0
@dpaInc help here
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
dw:1342760301927:dw If we take XY parallel to AB then AC is a transversal.
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
@dpaInc you should find a, 3a and x.(in the latest figure)
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
Are you there @dpaInc?
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.0
yep... just trying to figure it out....:)
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.0
dw:1342761130552:dw
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.0
i don't think the there is a unique solution.... are you looking for integer solutions?
 2 years ago

pratu043 Group TitleBest ResponseYou've already chosen the best response.0
I have to go now. Please please please help if possible .....
 2 years ago

mukushla Group TitleBest ResponseYou've already chosen the best response.0
i think dplanc is right there is no unique solution unless x=90
 2 years ago
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