Question

find the measure of the supplement of a \\(70^\circ\\) angle.

the measure of the supplement of a \\(70^\circ\\) angle is \\(\square^\circ\\).
(simplify your answer. type an integer or a decimal.)

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"tutor"
],
"needs_drawing": false,
"concepts_used": [],
"new_concepts": [
"Supplementary Angles"
],
"current_concepts": [
"Supplementary Angles"
]
}
</pre_analysis>

<reasoning>

Identify the given angle

The problem asks for the supplement of a given angle.
The measure of the given angle is \(70^\circ\).

Define supplementary angles

Two angles are supplementary if the sum of their measures is exactly \(180^\circ\).
Let \(x\) represent the measure of the supplement.
The relationship is:
\[x + 70^\circ = 180^\circ\]

Solve for the unknown angle

Subtract \(70^\circ\) from both sides to find the supplement:
\[x = 180^\circ - 70^\circ\]
\[x = 110^\circ\]
</reasoning>

<answer>
The measure of the supplement of a \(70^\circ\) angle is <blank>110</blank>\(^\circ\).
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Geometry",
"Supplementary Angles"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"tutor"
],
"needs_drawing": false,
"concepts_used": [],
"new_concepts": [
"Supplementary Angles"
],
"current_concepts": [
"Supplementary Angles"
]
}
</pre_analysis>

<reasoning>

Identify the given angle

The problem asks for the supplement of a given angle.
The measure of the given angle is \(70^\circ\).

Define supplementary angles

Two angles are supplementary if the sum of their measures is exactly \(180^\circ\).
Let \(x\) represent the measure of the supplement.
The relationship is:
\[x + 70^\circ = 180^\circ\]

Solve for the unknown angle

Subtract \(70^\circ\) from both sides to find the supplement:
\[x = 180^\circ - 70^\circ\]
\[x = 110^\circ\]
</reasoning>

<answer>
The measure of the supplement of a \(70^\circ\) angle is <blank>110</blank>\(^\circ\).
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Geometry",
"Supplementary Angles"
]
}
</post_analysis>