document.write( "Question 1169821: ABC is an isosceles triangle with side AB= side AC. Line BC is produced to D such that side AC=side CD. If angle ABC = 2x°, angle BAC=x° and angle ADC=y°, prove that x=y \n" ); document.write( "
Algebra.Com's Answer #843784 by mananth(16946)![]() ![]() You can put this solution on YOUR website! AB=AC \r \n" ); document.write( "\n" ); document.write( "B=C=2x\r \n" ); document.write( "\n" ); document.write( "In triangle ABC x+2x+2x =180\r \n" ); document.write( "\n" ); document.write( "5x =180\r \n" ); document.write( "\n" ); document.write( "x = 36 deg\r \n" ); document.write( "\n" ); document.write( "In triangle ACD 2y+3x=180\r \n" ); document.write( "\n" ); document.write( "plug x=36\r \n" ); document.write( "\n" ); document.write( "2y+108=q80\r \n" ); document.write( "\n" ); document.write( "2y =72\r \n" ); document.write( "\n" ); document.write( "y=36 deg\r \n" ); document.write( "\n" ); document.write( "x=y\r \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |