Angles and Lines
We have added a couple of angles to facilitate the explanation:
We have found the angle of 120° from the angles of 60° and angle A which are supplementary.
Now for the line GD, the sum of the angles should be 180° also, thus:
x = 180° - 35° - 120° = 25°
Angle d is the complement of x, thus: d = 90° - 25° = 65°
d = 65°
Finally, for the same line GD, the sum of 60° + w + d = 180°
w = 180° - 65° - 60° = 55°
w = 55°