To find the measure of ∠DBC, we can use the fact that the sum of the angles in a triangle is 180 degrees.
∠ABC + ∠BCA + ∠CAB = 180
Plugging in the given measures:
155° + ∠BCA + 60° = 180°
Adding the like terms:
∠BCA + 215° = 180°
Subtracting 215° from both sides:
∠BCA = 180° - 215°
Simplifying:
∠BCA = -35°
Since the measure of an angle cannot be negative, we can conclude that there is an error in the given information or the illustration. Therefore, none of the provided answer choices are correct.