document.write( "Question 724520: A Regular decagon A,B,C,D,E,F,G,H,I,J is in the x-y plane.Measure of angle ADH in degrees is ? \n" ); document.write( "
Algebra.Com's Answer #443779 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( " \r\n" ); document.write( "Central angle AOH is made up of the 3 red central angles.\r\n" ); document.write( "Each of those three central angles measures 360°÷10 or 36°.\r\n" ); document.write( "\r\n" ); document.write( "So the 3 of them have measure 3×36° or 108°, so angle AOH\r\n" ); document.write( "has measure 108°. Therefore minor arc AH which angle ADH \r\n" ); document.write( "subtends has measure 108°. \r\n" ); document.write( "\r\n" ); document.write( "Angle ADH is an inscribed angle and an inscribed angle gas \r\n" ); document.write( "the measure of one-half of the measure of its subtended arc.\r\n" ); document.write( "Angle ADH subtends the same arc which central angle AOH \r\n" ); document.write( "subtends. Thus the measure of angle ADH is one-half of 108° \r\n" ); document.write( "and is therefore 54°. \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |