solve for x to make a||b.

(x = ?)

Question

solve for x to make a||b.

(x = ?)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Consecutive Interior Angles", "Parallel Lines Cut by Transversal" ], "new_concepts": [], "current_concepts": [ "Consecutive Interior Angles", "Parallel Lines Cut by Transversal" ] } ## Identify the angle relationship Using the *Consecutive Interior Angles* and *Parallel Lines Cut by Transversal* knowledge points $$ 45^\circ + (6x + 15)^\circ = 180^\circ $$ ## Simplify the equation Using the *Consecutive Interior Angles* knowledge point $$ \begin{aligned} 6x + 60 &= 180\ 6x &= 120\ x &= 20 \end{aligned} $$ Solve for x to make A||B. $x =$ 20 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Consecutive Interior Angles" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the angle relationship

Simplify the equation

Answer: