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Question
Use the image to answer the question.
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
155°
155 degrees
215°
215 degrees
180°
180 degrees
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page 13 of 13
To find the measure of ∠DBC, we can use the fact that the sum of the angles in a triangle is 180 degrees.
∠ABC + ∠BCA + ∠BCD = 180°
Substituting the given values:
155° + ∠BCA + 60° = 180°
Simplifying the equation:
∠BCA + 215° = 180°
Subtracting 215° from both sides:
∠BCA = -35°
Since angles cannot have negative values, this result is not possible. Therefore, there must be an error in the given information or in the question itself.