To find the code for 'ENTANGLE', we first analyze the coding pattern from 'MERCURY' to 'NGUGZXF'.
The letters are shifted as follows:
M (13) → N (14) = +1
E (5) → G (7) = +2
R (18) → U (21) = +3
C (3) → G (7) = +4
U (21) → Z (26) = +5
R (18) → X (24) = +6
Y (25) → F (6) = +7
Now, we apply the same shifting pattern to 'ENTANGLE':
E (5) → F (6) = +1
N (14) → P (16) = +2
T (20) → W (23) = +3
A (1) → E (5) = +4
N (14) → R (18) = +5
G (7) → M (13) = +6
L (12) → S (19) = +7
E (5) → M (13) = +8
Thus, option 2 is the answer (see the last 3 letters: MSM, and find that among the options!)