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

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pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1@lgbasallote please help!!

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

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1I figured out that angle ADB = y.

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

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1Because triangle ABD is isosceles.

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

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1And how did you get DB = 3a and BC = a?

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

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

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1That means t = 3a and y = a.

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

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1How did you get x = 90 degrees? I know it looks like that but i doesn't say so in the question.

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

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1I might be slightly greater or lesser that 90 right?

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

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

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

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1Yes, but it is in the form of a worksheet that I got in school(it is not in the electronic form).

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1I'll try drawing again then, just a minute.

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1342758495805:dw For convenience.

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1The 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.

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

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

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1Yeah, but I only know how to solve system of equations with 2 variables.

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

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

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

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

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

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1Shouldn't it be 2a = n? Because 0  n would be n and but you wrote n.

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

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1So a = n/2. Or we can use n = 2a in one of the equations?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.02a = n is the 5th equation

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.15a +x = 180 n + 3a + x = 180 2a + m = 180 m + n = 180 2a = n

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0now 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

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1Are 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.

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

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

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

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

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1Angle ABC = 180  (3a + x).

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1a + 4a + x = 180 or 5a + x = 180

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1This is still not getting us anywhere ....

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1Is it possible to get x in terms of a ?

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1342760301927:dw If we take XY parallel to AB then AC is a transversal.

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1@dpaInc you should find a, 3a and x.(in the latest figure)

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1Are you there @dpaInc?

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

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

pratu043
 2 years ago
Best ResponseYou've already chosen the best response.1I have to go now. Please please please help if possible .....

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