Drawing ONE auxilliary line (or circle) is generally not that hard... But having to draw MULTIPLE aux lines (&/or circles) make these problems REALLY hard (for me...). It's not obvious how, or which or what we need from them; drawing them when angles aren't "nice" (30, 45, 60, 90, etc.) makes this even harder. Of course, once someone draws them for you (or gives the hint), the solution becomes pretty straightforward. Guess I've just not developed the eye (YET!) to draw the right ones. 😢 Still working on it! Thx for this and all the other geometry-based problems you do. Love them!! ❤❤

Thanks for your efforts explaining in detail. We appreciate it. However, we don't believe that this figure can exist unless all side lengths and all angles are given to verify

Sir, The complete known detail is as: Four sided shape ABCD . BD= 40 karam (1 karam =5.5 ft), AE= 16 karam ( Perpenduclar on BD). CF =25 karam (Perpendicular on BD). Area of ABCD = 820 sq karam approximately. Formula used to calculating Area is = 40(16+25)/2 . Can we find all the sides of ABCD. Thanks.

Really like the second method

Dopo teorema dei seni e calcoli trigonometrici my answer Is sinθ=2ctg13/(1+(ctg13)^2). θ=26

asnwer=25