The measure of ABD is 60° and the measure of ABC is 155° what is the measure of DBC
A. 215°
B. 95°
C. 180°
D. 155°
Pick only one
The sum of the angles in a triangle is 180°. So, if the measure of ABC is 155° and the measure of ABD is 60°, then the measure of DBC can be found by subtracting these two angles from 180°.
DBC = 180° - (155° + 60°)
DBC = 180° - 215°
DBC = -35°
However, angles cannot have negative measures. Therefore, the given information is not possible. None of the provided answer choices are correct.
Correct answer: None of the above