look at the angles in this quadrilateral.
which angles measure is closest to $48^\circ$?

$\angle 1$
$\angle 2$
$\angle 3$
$\angle 4$

Question

look at the angles in this quadrilateral.
which angles measure is closest to $48^\circ$?

$\angle 1$
$\angle 2$
$\angle 3$
$\angle 4$

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": [ "Angle Estimation", "Classifying Angles" ], "current_concepts": [ "Angle Estimation", "Classifying Angles" ] } ## Classify each angle in the quadrilateral $$ \begin{aligned} &\angle 1: \text{Obtuse angle } (> 90^\circ) \ &\angle 2: \text{Obtuse angle } (> 90^\circ) \ &\angle 3: \text{Right angle or slightly obtuse } (\approx 90^\circ) \ &\angle 4: \text{Acute angle } (< 90^\circ) \end{aligned} $$ ## Estimate the measure of the acute angle $$ \begin{aligned} &\text{Since } 48^\circ \text{ is an acute angle } (< 90^\circ), \text{ the correct choice must be the only acute angle.} \ &\angle 4 \approx 45^\circ \text{ to } 50^\circ \end{aligned} $$

$\angle 1$

$\angle 2$

$\angle 3$

$\angle 4$

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

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QUESTION IMAGE

Question

Explanation:

Classify each angle in the quadrilateral

Estimate the measure of the acute angle

Answer: