Question

find the supplementary angle of \\(91.7^{\circ}\\).

the supplementary angle of \\(91.7^{\circ}\\) is \\(73.7^{\circ}\\). (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",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Supplementary Angles"
],
"new_concepts": [],
"current_concepts": [
"Supplementary Angles"
]
}
</pre_analysis>

<reasoning>

Define supplementary angles

Using the Supplementary Angles knowledge point
\[
\theta_1 + \theta_2 = 180^\circ
\]

Calculate the unknown angle

Using the Supplementary Angles knowledge point
\[

$$\begin{aligned} \theta_2 &= 180^\circ - 91.7^\circ \\ \theta_2 &= 88.3^\circ \end{aligned}$$

\]
</reasoning>

<answer>
The supplementary angle of \(91.7^\circ\) is <blank>88.3</blank>\(^\circ\). (Type an integer or a decimal.)
</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",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Supplementary Angles"
],
"new_concepts": [],
"current_concepts": [
"Supplementary Angles"
]
}
</pre_analysis>

<reasoning>

Define supplementary angles

Using the Supplementary Angles knowledge point
\[
\theta_1 + \theta_2 = 180^\circ
\]

Calculate the unknown angle

Using the Supplementary Angles knowledge point
\[

$$\begin{aligned} \theta_2 &= 180^\circ - 91.7^\circ \\ \theta_2 &= 88.3^\circ \end{aligned}$$

\]
</reasoning>

<answer>
The supplementary angle of \(91.7^\circ\) is <blank>88.3</blank>\(^\circ\). (Type an integer or a decimal.)
</answer>

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