figure abcd is a parallelogram.
what is the value of p?
6
7
8
9

Question

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": [ "Parallelogram Angle Properties", "Solving Linear Equations" ], "new_concepts": [], "current_concepts": [ "Parallelogram Angle Properties", "Solving Linear Equations" ] } ## Identify the geometric relationship Using the *Parallelogram Angle Properties* knowledge point $$ \begin{aligned} &\angle A \cong \angle C\ &m\angle A = m\angle C\ &4p + 12 = 36 \end{aligned} $$ ## Solve the linear equation for p Using the *Solving Linear Equations* knowledge point $$ \begin{aligned} &4p = 36 - 12\ &4p = 24\ &p = 6 \end{aligned} $$

(A) 6

(B) 7

(C) 8

(D) 9

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Parallelogram Angle Properties" ] }

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Question

Explanation:

Identify the geometric relationship

Solve the linear equation for p

Answer: