The measure of ∠ABD is 60° and the measure of ∠ABC is 155° . What is the measure of ∠DBC ?

The sum of the angles in a triangle is 180°.

Since we know that ∠ABD is 60° and ∠ABC is 155°, we can find ∠DBC by subtracting these angles from 180°:
∠DBC = 180° - ∠ABD - ∠ABC
∠DBC = 180° - 60° - 155°
∠DBC = 180° - 215°
∠DBC = -35°

Therefore, the measure of ∠DBC is -35°.