{"status": "success", "data": {"description_md": "Triangles $ABC$ and $ADC$ are isosceles with $AB=BC$ and $AD=DC$.  Point $D$ is inside triangle $ABC$, angle $ABC$ measures 40 degrees, and angle $ADC$ measures 140 degrees. What is the degree measure of angle $BAD$?\n\n$\\mathrm{(A)}\\ 20\\qquad \\mathrm{(B)}\\ 30\\qquad \\mathrm{(C)}\\ 40\\qquad \\mathrm{(D)}\\ 50\\qquad \\mathrm{(E)}\\ 60$\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>Triangles <span class=\"katex--inline\">ABC</span> and <span class=\"katex--inline\">ADC</span> are isosceles with <span class=\"katex--inline\">AB=BC</span> and <span class=\"katex--inline\">AD=DC</span>.  Point <span class=\"katex--inline\">D</span> is inside triangle <span class=\"katex--inline\">ABC</span>, angle <span class=\"katex--inline\">ABC</span> measures 40 degrees, and angle <span class=\"katex--inline\">ADC</span> measures 140 degrees. What is the degree measure of angle <span class=\"katex--inline\">BAD</span>?</p>&#10;<p><span class=\"katex--inline\">\\mathrm{(A)}\\ 20\\qquad \\mathrm{(B)}\\ 30\\qquad \\mathrm{(C)}\\ 40\\qquad \\mathrm{(D)}\\ 50\\qquad \\mathrm{(E)}\\ 60</span></p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2007 AMC 12A Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc12A_p07", "prev": "/problem/07_amc12A_p05"}}