MathDB
Cyclic Quad Spam

Source: 2022 AMC10B #20

November 17, 2022
geometryrhombusAMCAMC 102022 AMC2022 AMC 10BSolvable without cyclic

Problem Statement

Let ABCDABCD be a rhombus with ∠ADC=46∘\angle{ADC} = 46^{\circ}. Let EE be the midpoint of CD‾\overline{CD}, and let FF be the point on BE‾\overline{BE} such that AF‾\overline{AF} is perpendicular to BE‾\overline{BE}. What is the degree measure of ∠BFC\angle{BFC}?
<spanclass=′latex−bold′>(A)</span> 110<spanclass=′latex−bold′>(B)</span> 111<spanclass=′latex−bold′>(C)</span> 112<spanclass=′latex−bold′>(D)</span> 113<spanclass=′latex−bold′>(E)</span> 114<span class='latex-bold'>(A)</span>\ 110 \qquad <span class='latex-bold'>(B)</span>\ 111 \qquad <span class='latex-bold'>(C)</span>\ 112 \qquad <span class='latex-bold'>(D)</span>\ 113 \qquad <span class='latex-bold'>(E)</span>\ 114
Back to ProblemsView on AoPS