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In the given figure, AB divides DAC in the ratio 1:3 and AB = DB. Calculate the unknown angles.
 one year ago
 one year ago
In the given figure, AB divides DAC in the ratio 1:3 and AB = DB. Calculate the unknown angles.
 one year ago
 one year ago

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pratu043Best ResponseYou've already chosen the best response.0
dw:1342757653054:dw
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
@lgbasallote please help!!
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
dw:1342757791245:dw just presenting a drawing first so i can visualize it
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
I figured out that angle ADB = y.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
how did you figure that out?
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
Because triangle ABD is isosceles.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
dw:1342757924763:dw
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
And how did you get DB = 3a and BC = a?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
it says the ratio is 1:3
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
Ratio is 1:3 for the angle DAC.
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
That means t = 3a and y = a.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
y + y + t + 90 = 180 2y + t = 90 do you see this?
 one year ago

pratu043Best 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.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
according to your triangle it's a right triangle
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
I might be slightly greater or lesser that 90 right?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
dw:1342758203033:dw y + y + m = 180 t + 90 + n = 180 m + n = 180
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
do you have the *real* drawing??
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
this drawing is getting confusing :(
 one year ago

pratu043Best 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).
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
I'll try drawing again then, just a minute.
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
dw:1342758349890:dw
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
dw:1342758495805:dw For convenience.
 one year ago

pratu043Best 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.
 one year ago

lgbasalloteBest 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?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
so you have 4 unknowns and 4 equations. we can use systems of linear equations
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
Yeah, but I only know how to solve system of equations with 2 variables.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
i wrote one wrong...should be a + (a+3a) + x = 180
 one year ago

lgbasalloteBest 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
 one year ago

lgbasalloteBest 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
 one year ago

lgbasalloteBest 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
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
^that would be equation 5
 one year ago

pratu043Best 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.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
uhmm yeah you're right 2a = n
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
So a = n/2. Or we can use n = 2a in one of the equations?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
2a = n is the 5th equation
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
5a +x = 180 n + 3a + x = 180 2a + m = 180 m + n = 180 2a = n
 one year ago

lgbasalloteBest 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
 one year ago

pratu043Best 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.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
well...x is not 90 degrees....
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
it's seriously complicated
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
dw:1342759662640:dw
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
if x were 90 then i assume the right triangle postulates and theorems could be applied
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
or maybe im just doing something wrong here...
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
Angle ABC = 180  (3a + x).
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
a + 4a + x = 180 or 5a + x = 180
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
This is still not getting us anywhere ....
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
dw:1342759792383:dw
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
Is it possible to get x in terms of a ?
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
dw:1342760301927:dw If we take XY parallel to AB then AC is a transversal.
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
@dpaInc you should find a, 3a and x.(in the latest figure)
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
Are you there @dpaInc?
 one year ago

dpaIncBest ResponseYou've already chosen the best response.0
yep... just trying to figure it out....:)
 one year ago

dpaIncBest ResponseYou've already chosen the best response.0
i don't think the there is a unique solution.... are you looking for integer solutions?
 one year ago

pratu043Best ResponseYou've already chosen the best response.0
I have to go now. Please please please help if possible .....
 one year ago

mukushlaBest ResponseYou've already chosen the best response.0
i think dplanc is right there is no unique solution unless x=90
 one year ago
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