MathDB
Angles of a Pentagon in an Arithmetic Progression

Source:

March 3, 2010

Problem Statement

The angles of a pentagon are in arithmetic progression. One of the angles in degrees, must be: <spanclass=latexbold>(A)</span> 108<spanclass=latexbold>(B)</span> 90<spanclass=latexbold>(C)</span> 72<spanclass=latexbold>(D)</span> 54<spanclass=latexbold>(E)</span> 36 <span class='latex-bold'>(A)</span>\ 108 \qquad <span class='latex-bold'>(B)</span>\ 90 \qquad <span class='latex-bold'>(C)</span>\ 72 \qquad <span class='latex-bold'>(D)</span>\ 54 \qquad <span class='latex-bold'>(E)</span>\ 36