document.write( "Question 149073: the second angle of a triangle is 10 degrees less than three times the first angle. The third angle is 10 degrees less than the second angle. find the angles of this triangle \n" ); document.write( "
Algebra.Com's Answer #109356 by nabla(475)![]() ![]() ![]() You can put this solution on YOUR website! let angle 1 = a \n" ); document.write( "angle 2= b \n" ); document.write( "angle 3=c\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a=a \n" ); document.write( "b=3a-10 \n" ); document.write( "c=b-10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "THEN\r \n" ); document.write( "\n" ); document.write( "a=a \n" ); document.write( "b=3a-10 \n" ); document.write( "c=3a-10-10\r \n" ); document.write( "\n" ); document.write( "THEN\r \n" ); document.write( "\n" ); document.write( "a=a \n" ); document.write( "b=3a-10 \n" ); document.write( "c=3a-20\r \n" ); document.write( "\n" ); document.write( "AND \n" ); document.write( "a+b+c=180 (BECAUSE of the definition of a triangle having 180 degrees total angle measure) \n" ); document.write( "SO \n" ); document.write( "a+3a-10+3a-20=180 \n" ); document.write( "7a-30=180 \n" ); document.write( "7a=210 \n" ); document.write( "a=30.\r \n" ); document.write( "\n" ); document.write( "So b=80 and c=70.\r \n" ); document.write( "\n" ); document.write( "Angles are 30, 70, and 80. \n" ); document.write( " \n" ); document.write( " |