document.write( "Question 1027205: Two angles of a quadrilateral are 45° and 85°. The other two angles are in the ratio 15 : 8. find the remaining two angles of the quadrilateral. \n" ); document.write( "
Algebra.Com's Answer #642640 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! The sum of all the angles of a quadrilateral is 360. \n" ); document.write( "Therefore the two unknown angles sum to 360 - 45 - 85 = 230 degrees. \n" ); document.write( "If the two angles are in the ratio 15 to 8, we can say they are 15x to 8x. \n" ); document.write( "Thus 15x + 8x = 230, \n" ); document.write( "23x = 230 \n" ); document.write( "x = 10 \n" ); document.write( "and the angles are \n" ); document.write( "150 and 80 degrees. \n" ); document.write( " |