### If $A$ and $B$ are acute angles such that $cot{\space} A$ = $tan{\space} B$, find the value of $(A + B )$.

$90^\circ$
1. We are told that \begin{aligned} &cot{\space} A = tan{\space} B \\ {\implies}& cot{\space} A = cot{\space} (90^\circ - B) \\ {\implies}& A = 90^\circ - B &&[\because A{\space}{\space} and {\space}{\space}(90^\circ - B ){\space} are{\space} acute. ] \\ {\implies}& A + B = 90^\circ \end{aligned}
2. Thus, the value of $(A + B)$ is $\bf 90^\circ$.
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 1.0000094175338745, "perplexity": 2363.2202337555354}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2023-14/segments/1679296945372.38/warc/CC-MAIN-20230325191930-20230325221930-00127.warc.gz"}