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Quadrilateral

Source: AMC 10 2008B Problem 24

February 28, 2008
geometryrhombustrigonometryAMCAIMEgeometric transformationparallelogram

Problem Statement

Quadrilateral ABCDABCD has AB=BC=CDAB=BC=CD, ∠ABC=70∘\angle ABC=70^\circ, and ∠BCD=170∘\angle BCD=170^\circ. What is the degree measure of ∠BAD\angle BAD?
<spanclass=′latex−bold′>(A)</span> 75<spanclass=′latex−bold′>(B)</span> 80<spanclass=′latex−bold′>(C)</span> 85<spanclass=′latex−bold′>(D)</span> 90<spanclass=′latex−bold′>(E)</span> 95 <span class='latex-bold'>(A)</span>\ 75\qquad <span class='latex-bold'>(B)</span>\ 80\qquad <span class='latex-bold'>(C)</span>\ 85\qquad <span class='latex-bold'>(D)</span>\ 90\qquad <span class='latex-bold'>(E)</span>\ 95
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