Step 1:

Observe the circuit:

and are in series.

is in parallel .

Step 2:

Find the voltage source power.

Voltage source power is the real part of the .

Voltage source power

(b)

Find the power across the resistor .

Voltage in a parallel network is same, hence find the current flowing through .

Find the power dissipated across the resistor .

Power dissipated across the resistor is

(c)

Find the power across the resistor .

Voltage in a parallel network is same.

Find the power dissipated across the resistor .

Power dissipated across the resistor is 

(d)

From (a):

Find the total current.

in polar form can be written as

Total current is

(e)

Fom (b):

Current across the resistor is

Fom (d):

Total current is

Observe the figure:

in polar form can be written as