MathDB

15

Part of 1958 AMC 12/AHSME

Problems(1)

Sum of the Measures of Inscribed Angles

Source:

6/13/2009
A quadrilateral is inscribed in a circle. If an angle is inscribed into each of the four segments outside the quadrilateral, the sum of these four angles, expressed in degrees, is: <spanclass=′latex−bold′>(A)</span> 1080<spanclass=′latex−bold′>(B)</span> 900<spanclass=′latex−bold′>(C)</span> 720<spanclass=′latex−bold′>(D)</span> 540<spanclass=′latex−bold′>(E)</span> 360 <span class='latex-bold'>(A)</span>\ 1080\qquad <span class='latex-bold'>(B)</span>\ 900\qquad <span class='latex-bold'>(C)</span>\ 720\qquad <span class='latex-bold'>(D)</span>\ 540\qquad <span class='latex-bold'>(E)</span>\ 360