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

215°
215 degrees

155°
155 degrees

180°

1 answer

The sum of the angles in a triangle is always 180°. Therefore, to find the measure of ∠DBC, we can subtract the measures of ∠ABD and ∠ABC from 180°.

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

Since angles cannot have negative measures, the correct response is 215°.