in the diagram, $r \parallel s$.
what is the value of $x$?
$x = $

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Alternate Interior Angles", "Vertical Angles" ], "new_concepts": [], "current_concepts": [ "Alternate Interior Angles", "Vertical Angles", "Transversal Lines" ] } ## Relate the given angles using parallel line properties $$ \begin{aligned} &\angle 1 = 117.6^\circ \ &(2x + 12.8)^\circ = \angle 1 \end{aligned} $$ ## Set up and solve the equation for x $$ \begin{aligned} 2x + 12.8 &= 117.6 \ 2x &= 104.8 \ x &= 52.4 \end{aligned} $$ In the diagram, $r \parallel s$. What is the value of $x$? $x =$ 52.4 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Parallel Lines and Transversals" ] }

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Explanation:

Relate the given angles using parallel line properties

Set up and solve the equation for x

Answer: