QUESTION IMAGE
Question
what is the value of x?
\\((2x-10)^\circ\\)
\\((3x+15)^\circ\\)
a. \\(x=35\\)
b. \\(x=50\\)
c. \\(x=30\\)
d. \\(x=25\\)
<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Linear Pair Postulate",
"Supplementary Angles",
"Algebraic Angle Solving",
"Linear Equations"
],
"new_concepts": [],
"current_concepts": [
"Linear Pair Postulate",
"Supplementary Angles",
"Algebraic Angle Solving",
"Linear Equations"
]
}
</pre_analysis>
<reasoning>
Set up the linear pair equation
\[
(2x - 10) + (3x + 15) = 180
\]
Solve for x
\[
\]
</reasoning>
<answer>
<mcq-correct>(A) \(x = 35\)</mcq-correct>
<mcq-option>(B) \(x = 50\)</mcq-option>
<mcq-option>(C) \(x = 55\)</mcq-option>
<mcq-option>(D) \(x = 125\)</mcq-option>
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Geometry",
"Linear Pair Postulate"
]
}
</post_analysis>
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<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Linear Pair Postulate",
"Supplementary Angles",
"Algebraic Angle Solving",
"Linear Equations"
],
"new_concepts": [],
"current_concepts": [
"Linear Pair Postulate",
"Supplementary Angles",
"Algebraic Angle Solving",
"Linear Equations"
]
}
</pre_analysis>
<reasoning>
Set up the linear pair equation
\[
(2x - 10) + (3x + 15) = 180
\]
Solve for x
\[
\]
</reasoning>
<answer>
<mcq-correct>(A) \(x = 35\)</mcq-correct>
<mcq-option>(B) \(x = 50\)</mcq-option>
<mcq-option>(C) \(x = 55\)</mcq-option>
<mcq-option>(D) \(x = 125\)</mcq-option>
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Geometry",
"Linear Pair Postulate"
]
}
</post_analysis>