if $ m\angle abd = 110^{\circ} $ and $ m\angle dbc = 35^{\circ} $,
then $ m\angle abc = \quad ?\quad^{\circ} $

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Angle Measurement" ], "new_concepts": [ "Angle Addition Postulate" ], "current_concepts": [ "Angle Measurement", "Angle Addition Postulate" ] } ## Identify the given angle measures $$ \begin{aligned} &m\angle ABD = 110^\circ\ &m\angle DBC = 35^\circ \end{aligned} $$ ## Apply the Angle Addition Postulate $$ \begin{aligned} &m\angle ABC = m\angle ABD + m\angle DBC\ &m\angle ABC = 110^\circ + 35^\circ\ &m\angle ABC = 145^\circ \end{aligned} $$ If $m\angle ABD = 110^\circ$ and $m\angle DBC = 35^\circ$, then $m\angle ABC =$ $145$$^\circ$. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Angle Addition Postulate" ] }

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Explanation:

Identify the given angle measures

Apply the Angle Addition Postulate

Answer: