list the angles in order from least to greatest.
\angle \_\_

Question

list the angles in order from least to greatest.
\angle \_\_ < \angle \_\_ < \angle \_\_

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Triangle Side-Angle Relationship" ], "new_concepts": [], "current_concepts": [ "Triangle Side-Angle Relationship" ] } ## Identify side lengths and opposite angles $$ \begin{aligned} &\text{Side } AC = 9 \quad \implies \text{Opposite Angle: } \angle B \ &\text{Side } BC = 10 \quad \implies \text{Opposite Angle: } \angle A \ &\text{Side } AB = 16 \quad \implies \text{Opposite Angle: } \angle C \end{aligned} $$ ## Order side lengths from least to greatest $$ 9 < 10 < 16 \implies AC < BC < AB $$ ## Apply the side-angle relationship to order the angles $$ \angle B < \angle A < \angle C $$ List the angles in order from least to greatest. $\angle$ $B$, $\angle$ $A$, $\angle$ $C$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Triangle Side-Angle Relationship" ] }

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QUESTION IMAGE

Question

Explanation:

Identify side lengths and opposite angles

Order side lengths from least to greatest

Apply the side-angle relationship to order the angles

Answer: