How do I solve for x in this geometry problem? http://i.imgur.com/rUtAN.png

Question

anonymous · Answer

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anonymous · Answer

Is the center line a perpendicular?

anonymous · Answer

If it is just calulate the center line by Pythagorus from the left and from the right, then equate the expressions

shubhamsrg · Answer

if its angle bisector then use angle bisector theorem .. (comes from sine law)
7x/(5x+3) = (10x-2)/8x
solve for x

anonymous · Answer

I think should be perpendicular in order to solve it. Let the centre line as L. L^2= (10x-2)^2 - (8x)^2 this is the 1st equation. 2nd equation : L^2 = (7x)^2 - (5x+3)^2. equate both the expressions and solve for x.

anonymous · Answer

Problem is I don't think we can just assume that it is perpendicular....

anonymous · Answer

What are the 2 little arcs supposed to mean? Equal angles?

shubhamsrg · Answer

angles are marked with same sign,,so i guess its angle bisector.. jessica should clarify..

anonymous · Answer

thats all the information I'm given too, so yeah I guess it means theyre equal angles