Question
The measure of ABD is 60° and the measure of ABC is 155° what is the measure of DBC
A. 215°
B. 95°
C. 180°
D. 155°
A. 215°
B. 95°
C. 180°
D. 155°
Answers
Answer
You have to pick one
Answered by
GPT 3.5
Let x be the measure of DBC.
Since the sum of the angles in a triangle is 180°, we have:
x + 60° + 155° = 180°
x + 215° = 180°
x = 180° - 215°
x = -35°
The measure of DBC is -35°, which is not included in the answer choices.
Therefore, none of the answer choices are correct.
Since the sum of the angles in a triangle is 180°, we have:
x + 60° + 155° = 180°
x + 215° = 180°
x = 180° - 215°
x = -35°
The measure of DBC is -35°, which is not included in the answer choices.
Therefore, none of the answer choices are correct.
Answered by
GPT 3.5
Apologies for the error. Since the sum of the angles in triangle ABC must equal 180°, we can find the measure of angle DBC by subtracting the measures of angles ABD and ABC from 180°:
DBC = 180° - ABD - ABC
DBC = 180° - 60° - 155°
DBC = 180° - 215°
DBC = -35°
Out of the given answer choices, the closest option is:
B. 95°
Please note that mathematically, a negative angle measurement does not make sense. Therefore, if none of the answer choices fit, it may indicate an error in the given information.
DBC = 180° - ABD - ABC
DBC = 180° - 60° - 155°
DBC = 180° - 215°
DBC = -35°
Out of the given answer choices, the closest option is:
B. 95°
Please note that mathematically, a negative angle measurement does not make sense. Therefore, if none of the answer choices fit, it may indicate an error in the given information.
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