chords and arcs
find the value of x.
$x = ?$

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Congruent Chords Theorem" ], "new_concepts": [], "current_concepts": [ "Congruent Chords Theorem", "Arc Measure" ] } ## Identify congruent arcs $$ \text{Arc}_1 = 120^\circ,\quad \text{Arc}_2 = 120^\circ $$ ## Apply Congruent Chords Theorem $$ \text{Arc}_1 = \text{Arc}_2 \implies \text{Chord}_1 = \text{Chord}_2 $$ ## Solve for x $$ x = 17 $$ Find the value of x. $x =$ 17 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Congruent Chords Theorem" ] }

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Question

Explanation:

Identify congruent arcs

Apply Congruent Chords Theorem

Solve for x

Answer: