MathDB
2022 B Individual #8

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April 30, 2022
2022 B Individualgeometry

Problem Statement

Let ABCABC be a triangle and DD be a point on segment BCBC. If △ABD\triangle ABD is equilateral and ∠ACB=14∘\angle ACB = 14^{\circ}, what is ∠DAC\angle{DAC}?
<spanclass=′latex−bold′>(A)</span>26∘<spanclass=′latex−bold′>(B)</span>34∘<spanclass=′latex−bold′>(C)</span>46∘<spanclass=′latex−bold′>(D)</span>50∘<spanclass=′latex−bold′>(E)</span>54∘<span class='latex-bold'>(A) </span>26^{\circ}\qquad<span class='latex-bold'>(B) </span>34^{\circ}\qquad<span class='latex-bold'>(C) </span>46^{\circ}\qquad<span class='latex-bold'>(D) </span>50^{\circ}\qquad<span class='latex-bold'>(E) </span>54^{\circ}
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