document.write( "Question 71305: One angle of a triangle exceeds another by 23 degrees. the third is 6 degrees less than the sum of the others. FInd the measures of the angles. \n" ); document.write( "
Algebra.Com's Answer #51077 by 303795(602)![]() ![]() ![]() You can put this solution on YOUR website! Call the second angle x. The first angle must therefore be (x + 23). The third angle is 6 less than (x + x + 23) ie the third angle is (2x + 17). \n" ); document.write( "The three angles in a triangle add up to 180 degrees so \n" ); document.write( "x + (x + 23) + (2x + 17) = 180 \n" ); document.write( "4x + 40 = 180 \n" ); document.write( "4x = 140 \n" ); document.write( "x = 35 degrees \n" ); document.write( "The first angle is (x + 23) = 35 + 23 = 58 degrees \n" ); document.write( "The third angle is (2x + 17) = 2*35 + 17 = 70 + 17 = 87 degrees\r \n" ); document.write( "\n" ); document.write( "So the angles are 35, 58 and 87 degrees. \n" ); document.write( " |