solve for c.

$c = ?^\circ$

Question

solve for c.

$c = ?^\circ$

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": [ "Parallel Lines Cut by Transversal" ], "new_concepts": [ "Alternate Interior Angles Theorem", "Angles on a Straight Line" ], "current_concepts": [ "Parallel Lines Cut by Transversal", "Alternate Interior Angles Theorem", "Angles on a Straight Line" ] } ## Identify alternate interior angles Using the *Parallel Lines Cut by Transversal* knowledge point $$ \text{Left angle along the top straight line} = 35^\circ $$ ## Set up the straight line angle equation The angles along the top straight line sum to $180^\circ$: $$ 35^\circ + c + 25^\circ = 180^\circ $$ ## Solve for c Combine terms and solve: $$ \begin{aligned} 60^\circ + c &= 180^\circ\ c &= 120^\circ \end{aligned} $$ Solve for c. $c =$ 120$^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Parallel Lines Cut by Transversal" ] }

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QUESTION IMAGE

Question

Explanation:

Identify alternate interior angles

Set up the straight line angle equation

Solve for c

Answer: