By the angle sum property of a triangle, the sum of the angles in a triangle is always 180 degrees.
Therefore, the measure of ∠DBC can be found by subtracting the measures of ∠ABC and ∠DBA from 180 degrees:
∠DBC = 180° - ∠ABC - ∠DBA
∠DBC = 180° - 155° - 60°
∠DBC = 180° - 215°
∠DBC = -35° or 325°
Since angles cannot have negative measures, the answer is 325 degrees.
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
180°
180 degrees
155°
155 degrees
215°
215 degrees
95°
1 answer