We can use the fact that the sum of the angles in a triangle is 180 degrees to find the measure of ∠DBC.
In triangle ABC, we have:
∠ABC + ∠BCA + ∠CAB = 180°
Substituting the given measures, we get:
155° + ∠BCA + ∠CAB = 180°
Since ∠ABC and ∠CAB are already given, we can solve for ∠BCA:
∠BCA = 180° - 155° - 60°
∠BCA = 180° - 215°
∠BCA = -35°
However, angles cannot have negative measures. Therefore, there must be an error in the given data or in our calculations.
The measure of ∠ABD is 60° and the measure of ∠ABC is 155° . What is the measure of ∠DBC ?
(1 point)
Responses
155°
155 degrees
95°
95 degrees
180°
180 degrees
215°
215 degrees
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1 answer