$\angle cab$ is a central angle. if $m\widehat{cab} = 82^{\circ}$, what is the measure of $\angle cab$?

$98^{\circ}$
$164^{\circ}$
$41^{\circ}$
$82^{\circ}$

Question

$\angle cab$ is a central angle. if $m\widehat{cab} = 82^{\circ}$, what is the measure of $\angle cab$?

$98^{\circ}$
$164^{\circ}$
$41^{\circ}$
$82^{\circ}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Central Angle Theorem", "Arc Measure" ], "new_concepts": [], "current_concepts": [ "Central Angle Theorem", "Arc Measure" ] } ## Identify the given values Using the *Arc Measure* knowledge point $$ m\widehat{CAB} = 82^\circ $$ ## Apply the central angle theorem Using the *Central Angle Theorem* knowledge point $$ m\angle CAB = m\widehat{CAB} = 82^\circ $$

(A) $98^\circ$

(B) $164^\circ$

(C) $41^\circ$

(D) $82^\circ$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given values

Apply the central angle theorem

Answer: