Five resistors AB, BC, CD, DE and EA re connected to form a closed ring ABCDEA. A supply of 90V is connected across AD, A being a positive. The following is known about the resistors : AB is 10Ω, BC is of unknown value R1 ohms, CD is of unknown value R2 ohms, DE is 6Ω and EA is 9Ω. A high resistance voltmeter(taking negligible current) when connected across BE reads 34V with B positive and when connected across CE reads 6V with E positive. Find the values of R1 and R2, the current in branch ABCD and the main supply current.
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