Use the image to answer the question.
An illustration shows three rays passing through three points from a common origin point at upper B. Point upper C is to the horizontal left of upper B. A ray from upper B joins upper C with an arrow near upper C. Point upper D is on the top inclined slightly to the right of point upper B. A ray from upper B joins upper D with an arrow near upper D. Point upper A is to top right of point upper B. A ray from upper B joins upper A with an arrow near upper A. Angle upper C upper B upper A is labeled as 155 degrees. Angle upper D upper B upper A is labeled as 60 degrees.
The measure of ∠ABD is 60° and the measure of ∠ABC is 155° . What is the measure of ∠DBC ?
(1 point)
Responses
95°
95 degrees
180°
180 degrees
155°
155 degrees
215°
To find the measure of ∠DBC, we can use the fact that the sum of the angles in a triangle is 180 degrees.
Since ∠ABD is 60 degrees and ∠ABC is 155 degrees, we can find the measure of ∠DBC by subtracting the sum of those angles from 180 degrees.
∠DBC = 180° - (60° + 155°) = 180° - 215° = -35°
However, angles cannot have negative measures, so -35° is not a valid answer.
Therefore, it is not possible to find the measure of ∠DBC with the given information.