yu-xi draws a triangle with two angles measuring $78^\circ$ and $23^\circ$. what is the measure, in degrees, of the third angle?

78
79
101
102

Question

yu-xi draws a triangle with two angles measuring $78^\circ$ and $23^\circ$. what is the measure, in degrees, of the third angle?

78
79
101
102

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Triangle Angle Sum Theorem" ], "current_concepts": [ "Triangle Angle Sum Theorem" ] } ## Set up the angle sum equation $$ 79^\circ + 23^\circ + x = 180^\circ $$ ## Solve for the unknown angle $$ \begin{aligned} 102^\circ + x &= 180^\circ \ x &= 180^\circ - 102^\circ \ x &= 78^\circ \end{aligned} $$

(A) 78

(B) 79

(C) 101

(D) 102

{ "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: