{"status": "success", "data": {"description_md": "Let $ABCD$ be a rhombus with $\\angle{ADC} = 46^{\\circ}$. Let $E$ be the midpoint of $\\overline{CD}$, and let $F$ be the point on $\\overline{BE}$ such that $\\overline{AF}$ is perpendicular to $\\overline{BE}$. What is the degree measure of $\\angle{BFC}$?\n\n$\\textbf{(A)}\\ 110 \\qquad \\textbf{(B)}\\ 111 \\qquad \\textbf{(C)}\\ 112 \\qquad \\textbf{(D)}\\ 113 \\qquad \\textbf{(E)}\\ 114$", "description_html": "<p>Let  <span class=\"katex--inline\">ABCD</span>  be a rhombus with  <span class=\"katex--inline\">\\angle{ADC} = 46^{\\circ}</span> . Let  <span class=\"katex--inline\">E</span>  be the midpoint of  <span class=\"katex--inline\">\\overline{CD}</span> , and let  <span class=\"katex--inline\">F</span>  be the point on  <span class=\"katex--inline\">\\overline{BE}</span>  such that  <span class=\"katex--inline\">\\overline{AF}</span>  is perpendicular to  <span class=\"katex--inline\">\\overline{BE}</span> . What is the degree measure of  <span class=\"katex--inline\">\\angle{BFC}</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 110 \\qquad \\textbf{(B)}\\ 111 \\qquad \\textbf{(C)}\\ 112 \\qquad \\textbf{(D)}\\ 113 \\qquad \\textbf{(E)}\\ 114</span> </p>\n<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": 3, "problem_name": "2022 AMC 10B Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc10B_p21", "prev": "/problem/22_amc10B_p19"}}