MathDB
Inscribed Angles

Source:

February 6, 2009

Problem Statement

A quadrilateral is inscribed in a circle. If angles are inscribed in the four arcs cut off by the sides of the quadrilateral, their sum will be: <spanclass=latexbold>(A)</span> 180<spanclass=latexbold>(B)</span> 540<spanclass=latexbold>(C)</span> 360<spanclass=latexbold>(D)</span> 450<spanclass=latexbold>(E)</span> 1080 <span class='latex-bold'>(A)</span>\ 180^\circ \qquad <span class='latex-bold'>(B)</span>\ 540^\circ \qquad <span class='latex-bold'>(C)</span>\ 360^\circ \qquad <span class='latex-bold'>(D)</span>\ 450^\circ \qquad <span class='latex-bold'>(E)</span>\ 1080^\circ