Question

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

215°
215 degrees

155°

Answer 1

To find the measure of ∠DBC, we need to subtract the measures of ∠ABD and ∠ABC from 180° (because the angles in a triangle add up to 180°).

∠DBC = 180° - ∠ABD - ∠ABC
∠DBC = 180° - 60° - 155°
∠DBC = 180° - 215°
∠DBC = -35°

Since angles cannot be negative, the measure of ∠DBC is not valid.