Riddle me this MHF.

How come the algebra doesn't provide me with two solutions?

(SinX = SinB and 49 is 49°. This was sketched in a hurry..More like doodled..)

http://s18.postimage.org/xe1gohgqx/algebraproblem.png

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- March 19th 2013, 06:18 PMPazeSeemingly flawed algebra
Riddle me this MHF.

How come the algebra doesn't provide me with two solutions?

(SinX = SinB and 49 is 49°. This was sketched in a hurry..More like doodled..)

http://s18.postimage.org/xe1gohgqx/algebraproblem.png - March 19th 2013, 06:38 PMShakarriRe: Seemingly flawed algebra
- March 19th 2013, 06:43 PMPazeRe: Seemingly flawed algebra
Yes, but the general idea should be obvious. I have two triangles with 2 identical sides and 1 identical corner. That means that I have a different corner B in each triangle but solving with algebra only yields one solution. I am supposed to somehow 'know' to subtract the 2nd solution from 180 to get my 2nd corner and we all know that that's not how mathematics work. There is a reason and I would very much like to know it.

The rest of your answer I do not understand...B and B+450..? - March 19th 2013, 07:23 PMShakarriRe: Seemingly flawed algebra
- March 19th 2013, 07:26 PMPazeRe: Seemingly flawed algebra
- March 19th 2013, 07:31 PMShakarriRe: Seemingly flawed algebra
Oops that was silly of me. I tried sketching it and got 105 and 75 :)