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1990 AHSME #3: Consecutive Angles in a Trapezoid

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January 1, 2013
geometrytrapezoidAMC

Problem Statement

The consecutive angles of a trapezoid form an arithmetic sequence. If the smallest angle is 75∘75^\circ, then the largest angle is
<spanclass=′latex−bold′>(A)</span>95∘<spanclass=′latex−bold′>(B)</span>100∘<spanclass=′latex−bold′>(C)</span>105∘<spanclass=′latex−bold′>(D)</span>110∘<spanclass=′latex−bold′>(E)</span>115∘<span class='latex-bold'>(A) </span>95^\circ\qquad <span class='latex-bold'>(B) </span>100^\circ\qquad <span class='latex-bold'>(C) </span>105^\circ\qquad <span class='latex-bold'>(D) </span>110^\circ\qquad <span class='latex-bold'>(E) </span>115^\circ
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