document.write( "Question 337599: The smallest angle in a triangle is 1/3 of the largest angle. The third angle is 10 degree's more than the smallest angle. Find the measure of all three angles. \n" ); document.write( "
Algebra.Com's Answer #242011 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let largest angle be x \n" ); document.write( "smallest angle = x/3 \n" ); document.write( "third angle = x/3 +10 \n" ); document.write( ".. \n" ); document.write( "x/3 +10 + x/3 + x =180 \n" ); document.write( "add -10 to both sides \n" ); document.write( "and reorder \n" ); document.write( "x+2x/3 = 180-10 \n" ); document.write( "5x/3 = 170 \n" ); document.write( "5x= 510 \n" ); document.write( "divide by 5 \n" ); document.write( "5x/5 = 510/5 \n" ); document.write( "x=102. \n" ); document.write( "1/3 * 102 = 34 the second angle \n" ); document.write( "third angle = x/3 + 10 = 34+10=44 \n" ); document.write( "the angles are 102, 34, 44 \n" ); document.write( " |