document.write( "Question 1144649: AB is a diameter of a semicircle of cyclic quadilateral ABCD. If A =62degree, calculate B,C and D. (show working) \n" ); document.write( "
Algebra.Com's Answer #765833 by ikleyn(52907) You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The formulation of the problem in your post is . . . m-m-m, how to say it . . . absolutely unprofessional.\r \n" ); document.write( "\n" ); document.write( " The proper formulation is this :\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " In a cyclic quadrilateral ABCD, the side AB is the diameter of the circle. If A = 62 degrees, find angle C.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use the Theorem\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " If a convex quadrilateral is inscribed in a circle, then the sum of its opposite angles is equal to 180°.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "From this theorem, you momentarily get for the angle C, which is opposite to angle A\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " m (C) = 180° - m(A) = 180° - 62° = 118°. ANSWER\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Regarding this theorem, see the lesson\r \n" ); document.write( "\n" ); document.write( " - Quadrilateral inscribed in a circle\r \n" ); document.write( "\n" ); document.write( "in this site. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "/\/\/\/\/\/\/\/\/\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And you can not determine NEITHER angle B nor D based on given condition.\r \n" ); document.write( "\n" ); document.write( "You know only that m(B) + m(D) = 180° , and nothing more.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "===============\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You should say / post your \"THANKS\" at least three times to me:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " - first time for explaining to you on how to formulate your problem properly;\r\n" ); document.write( "\r\n" ); document.write( " - second time for solving the problem for you;\r\n" ); document.write( "\r\n" ); document.write( " - and third time for referring you to this excellent lesson.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "So, I really expect to get this triple \"THANKS\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook on Geometry\r \n" ); document.write( "\n" ); document.write( " GEOMETRY - YOUR ONLINE TEXTBOOK \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Properties of polygons\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you can find practically every topic of the school Geometry presented in perfect logical form.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in GEOMETRY \n" ); document.write( "https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |