{"status": "success", "data": {"description_md": "The ratio of the measures of two acute angles is $5:4$, and the complement of one of these two angles is twice as large as the complement of the other. What is the sum of the degree measures of the two angles?\n\n$\\textbf{(A)}\\ 75\\qquad\\textbf{(B)}\\ 90\\qquad\\textbf{(C)}\\ 135\\qquad\\textbf{(D)}\\ 150\\qquad\\textbf{(E)}\\ 270$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The ratio of the measures of two acute angles is  <span class=\"katex--inline\">5:4</span> , and the complement of one of these two angles is twice as large as the complement of the other. What is the sum of the degree measures of the two angles?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 75\\qquad\\textbf{(B)}\\ 90\\qquad\\textbf{(C)}\\ 135\\qquad\\textbf{(D)}\\ 150\\qquad\\textbf{(E)}\\ 270</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2016 AMC 12B Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/16_amc12B_p05", "prev": "/problem/16_amc12B_p03"}}