find the value of $x$.

$x = 2$
$x = 3$
$x = 33$
$x = 52$

Question

find the value of $x$.

$x = 2$
$x = 3$
$x = 33$
$x = 52$

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": [ "Exterior Angle Theorem" ], "new_concepts": [], "current_concepts": [ "Exterior Angle Theorem", "Triangle Angle Sum Theorem" ] } ## Set up the geometric equation Using the *Exterior Angle Theorem* knowledge point $$ (45x)^\circ = (25x)^\circ + (57 + x)^\circ $$ ## Solve the linear equation for x Using the *Exterior Angle Theorem* knowledge point $$ \begin{aligned} 45x &= 26x + 57 \ 19x &= 57 \ x &= 3 \end{aligned} $$

$x = 2$

$x = 3$

$x = 33$

$x = 52$

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

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QUESTION IMAGE

Question

Explanation:

Set up the geometric equation

Solve the linear equation for x

Answer: