Angle 1 = 33°, angle 2 = 52° (option C)
Step-by-step explanation:
The triangle by the left:
31° + 116° + ∠1 = 180° (sum of angles in a triangle)
147° + ∠1 = 180°
∠1 = 180° - 147°
∠1 = = 33°
The triangle by the right:
38° + 90° + ∠2 = 180° (sum of angles in a triangle)
128° + ∠2 = 180°
∠2 = 180 - 128
∠2 = 52°
Angle 1 = 33°, angle 2 = 52° (option C)