two angles in a triangle measure $33^\circ$ and $112^\circ$. what is the measure of the third angle?

$35^\circ$
$55^\circ$
$145^\circ$
$215^\circ$

Question

two angles in a triangle measure $33^\circ$ and $112^\circ$. what is the measure of the third angle?

$35^\circ$
$55^\circ$
$145^\circ$
$215^\circ$

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": [ "Triangle Angle Sum Theorem" ], "new_concepts": [], "current_concepts": [ "Triangle Angle Sum Theorem" ] } ## Set up the angle sum equation Using the *Triangle Angle Sum Theorem* knowledge point $$ 33^\circ + 112^\circ + x = 180^\circ $$ ## Solve for the unknown angle Using the *Triangle Angle Sum Theorem* knowledge point $$ \begin{aligned} 145^\circ + x &= 180^\circ \ x &= 180^\circ - 145^\circ \ x &= 35^\circ \end{aligned} $$

(A) $35^\circ$

(B) $55^\circ$

(C) $145^\circ$

(D) $215^\circ$

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

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QUESTION IMAGE

Question

Explanation:

Set up the angle sum equation

Solve for the unknown angle

Answer: