document.write( "Question 30808: In a triangle, the measure of he middle angle is 17 degrees more than twice the measure of the smallest angle. The largest angle is 55 degrees more than the measure of the smallest angle. What are the measures of the three angles? \n" ); document.write( "
Algebra.Com's Answer #17542 by Paul(988)![]() ![]() ![]() You can put this solution on YOUR website! Triangle adds up to 180 degrees: \n" ); document.write( "Let one side be x \n" ); document.write( "Let middle side be 2x+17 \n" ); document.write( "Let the largest side be x+55 \n" ); document.write( "Equation: \n" ); document.write( "(x)+(2x+17)+(x+55)=180 \n" ); document.write( "4x+72=180 \n" ); document.write( "4x=108 \n" ); document.write( "x=27\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2(27)+17=71 \n" ); document.write( "27+55=82. \n" ); document.write( "Hence, the three sides are 27, 71 and 82 degrees. \n" ); document.write( "Paul. \n" ); document.write( " |