if $m \widehat{bc} = 118^{\circ}$, what is $m \widehat{cd}$?

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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": [ "Congruent Chords and Arcs" ], "new_concepts": [], "current_concepts": [ "Congruent Chords and Arcs", "Arc Measure in Circles" ] } ## Identify congruent chords and their corresponding arcs $$ \begin{aligned} &CD = 8 \ &BD = 8 \ &CD = BD \implies m\overparen{CD} = m\overparen{BC} \end{aligned} $$ ## Calculate the measure of arc CD $$ \begin{aligned} &m\overparen{BC} = 118^\circ \ &m\overparen{CD} = m\overparen{BC} = 118^\circ \end{aligned} $$ If $m\overparen{BC} = 118^\circ$, what is $m\overparen{CD}$? $118^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Congruent Chords and Arcs" ] }

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Explanation:

Identify congruent chords and their corresponding arcs

Calculate the measure of arc CD

Answer: