Question

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

Explanation:

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"concepts_used": [
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<reasoning>

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
\[

$$\begin{aligned} &4p = 36 - 12\\ &4p = 24\\ &p = 6 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-correct>(A) 6</mcq-correct>
<mcq-option>(B) 7</mcq-option>
<mcq-option>(C) 8</mcq-option>
<mcq-option>(D) 9</mcq-option>
</answer>

<post_analysis>
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"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Geometry",
"Parallelogram Angle Properties"
]
}
</post_analysis>

Answer:

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"step_cot",
"multiple_choice_formatter",
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</pre_analysis>

<reasoning>

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
\[

$$\begin{aligned} &4p = 36 - 12\\ &4p = 24\\ &p = 6 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-correct>(A) 6</mcq-correct>
<mcq-option>(B) 7</mcq-option>
<mcq-option>(C) 8</mcq-option>
<mcq-option>(D) 9</mcq-option>
</answer>

<post_analysis>
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"question_type": "Multiple Choice",
"knowledge_point": [
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"Geometry",
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