Explanation:
we know both angles together (which is angle ABD) are 118°.
so,
angle 1 + angle 2 = 118°
angle 1 = angle 2 + 12
now we use the second equation in the first one :
(angle 2 + 12) + angle 2 = 118
2×angle 2 + 12 = 118
2×angle 2 = 106
angle 2 = 53°
and angle 1 = angle 2 + 12 = 65°