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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

95°
95 degrees

215°
215 degrees
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Answer 1

To find the measure of ∠DBC, we can subtract the measure of ∠ABC from 180 degrees (since they are adjacent angles on a straight line).

∠DBC = 180° - ∠ABC
∠DBC = 180° - 155°
∠DBC = 25°

The measure of ∠DBC is 25 degrees.