MathDB
Forgetful Claire

Source: 2017 AMC 12A #11

February 8, 2017
AMCAMC 12AMC 12 A2017 AMC 12A

Problem Statement

Claire adds the degree measures of the interior angles of a convex polygon and arrives at a sum of 20172017. She then discovers that she forgot to include one angle. What is the degree measure of the forgotten angle?
<spanclass=latexbold>(A)</span> 37<spanclass=latexbold>(B)</span> 63<spanclass=latexbold>(C)</span> 117<spanclass=latexbold>(D)</span> 143<spanclass=latexbold>(E)</span> 163<span class='latex-bold'>(A)</span>\ 37\qquad<span class='latex-bold'>(B)</span>\ 63\qquad<span class='latex-bold'>(C)</span>\ 117\qquad<span class='latex-bold'>(D)</span>\ 143\qquad<span class='latex-bold'>(E)</span>\ 163