if lines w and x are parallel, which angle must be 104°?

a
b
c
d

Question

if lines w and x are parallel, which angle must be 104°?

a
b
c
d

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": [ "Parallel Lines Cut by a Transversal", "Alternate Interior Angles" ], "new_concepts": [], "current_concepts": [ "Parallel Lines Cut by a Transversal", "Alternate Interior Angles", "Corresponding Angles" ] } ## Identify the given geometric relationships Using the *Parallel Lines Cut by a Transversal* knowledge point $$ \begin{aligned} &\text{Lines } W \parallel X \ &\text{Transversal line } Y \text{ intersects both } W \text{ and } X \ &\text{Given angle } = 104^\circ \text{ (top-left angle at intersection of } X \text{ and } Y\text{)} \end{aligned} $$ ## Relate the given angle to the options Using the *Alternate Interior Angles* and *Parallel Lines Cut by a Transversal* knowledge points $$ \begin{aligned} &\text{Angle } A \text{ and the } 104^\circ \text{ angle are corresponding angles.} \ &\text{Since } W \parallel X\text{, corresponding angles are equal.} \ &A = 104^\circ \end{aligned} $$

(A) A

(B) B

(C) C

(D) D

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Parallel Lines Cut by a Transversal" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given geometric relationships

Relate the given angle to the options

Answer: