User:Sujeetmanisha/Sandbox

In plane geometry we come across problems which involve finding the angles.Usually these problems are easy but sometimes these problems very difficult ,when problems involve angles other than pi/4,pi/6 or multiples of these angles.One such famous problem was proposed by E. M. Langley.Problem goes as follows:-

Let ABC be an isosceles triangle (AB = AC) with BAC = 20°. Point D is on side AC such that DBC = 60°. Point E is on side AB such that ECB = 50°. Find, with proof, the measure of EDB.

Finding solutions to these types of problems ,resorting only to pure geometrical methods, can be jubialating as well as agonizing.

It seems there don't exist any order in these problems but if we watch very closely ,we can find a pattern and then adventitious angles do not remain that much adventitious