Given:
circuit look like this
Required: calculate R equivalent and current in branches
Step-by-step explanation:
we can see that resistor between B and D are in series then they will add like as

now resistor between

and E are in parallel combination
and we call it Resistor R

now this resistor is in series with 100 ohm then we have equivalent resistor is

now calculate the total current in the circuit
that is

Plugging all the values in the above relation we get

Above is the total current flowing in the circuit.
total current will be in the circuit consist of two parts

now apply Kirchhoff's voltage law in the first loop and solve current 1, we get

now put the value of the above current 1 in the equation(1), we get

now calculate voltage the across all the resistor
voltage across resistor 1 is

voltage across across 500 ohm resistance

Voltage across 310 ohm is

Voltage across 300 ohm is
