document.write( "Question 199144: The second angle of a triangle is 30° more than the first angle,
\n" );
document.write( "while the first angle is 26° more than 3 times the third angle.
\n" );
document.write( "What is the measure of each angle?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #149618 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! The second angle of a triangle is 30° more than the first angle, \n" ); document.write( "while the first angle is 26° more than 3 times the third angle. \n" ); document.write( "What is the measure of each angle? \n" ); document.write( ". \n" ); document.write( "Let t = measure of third angle \n" ); document.write( "then \n" ); document.write( "3t+26 = measure of first angle \n" ); document.write( "3t+26+30 = 3t+56= measure of second angle \n" ); document.write( ". \n" ); document.write( "180 = t + 3t+26 + 3t+56 \n" ); document.write( "180 = 7t + 82 \n" ); document.write( "98 = 7t \n" ); document.write( "14 deg = t (third angle) \n" ); document.write( ". \n" ); document.write( "First angle: \n" ); document.write( "3t+26 = 3(14)+26 = 42+26 = 68 deg (first angle) \n" ); document.write( ". \n" ); document.write( "Second angle: \n" ); document.write( "68+30 = 98 deg (second angle) \n" ); document.write( " \n" ); document.write( " |