what is the value of c?

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Angle Addition Postulate" ], "new_concepts": [], "current_concepts": [ "Angle Addition Postulate", "Adjacent Angles" ] } ## Identify the given angle measures Using the *Angle Addition Postulate* knowledge point $$ \begin{aligned} &\text{Let the total angle be } \angle AOB \text{ with measure } 76.4^\circ.\ &\text{Let the two adjacent component angles be } \angle AOC \text{ and } \angle COB.\ &m\angle AOC = 26^\circ\ &m\angle COB = c^\circ\ &m\angle AOB = 76.4^\circ \end{aligned} $$ ## Set up the equation and solve for c Using the *Angle Addition Postulate* knowledge point $$ \begin{aligned} &26 + c = 76.4\ &c = 76.4 - 26\ &c = 50.4 \end{aligned} $$ What is the value of c? 50.4 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Angle Addition Postulate" ] }

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Identify the given angle measures

Set up the equation and solve for c

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