angle bac measures $56^\circ$
what is the measure of angle bdc?
$28^\circ$
$34^\circ$
$56^\circ$
$112^\circ$

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Inscribed Angle Theorem" ], "new_concepts": [], "current_concepts": [ "Inscribed Angle Theorem", "Circle Geometry" ] } ## Identify the inscribed angles and their intercepted arc $$ \angle BAC \text{ and } \angle BDC \text{ are inscribed angles that intercept the same arc, } \overparen{BC}. $$ ## Apply the Inscribed Angle Theorem $$ m\angle BDC = m\angle BAC = 56^\circ $$

28°

34°

56°

112°

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Inscribed Angle Theorem" ] }

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Question

Explanation:

Identify the inscribed angles and their intercepted arc

Apply the Inscribed Angle Theorem

Answer: