document.write( "Question 134657: One angle of a triangle has a measure of 80 degree and the measures of the outer two angles are in a ratio of 2 to 3.Find the measures of the other two angles. Please show how you get the answer, thank you in advance. \n" ); document.write( "
Algebra.Com's Answer #98502 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! One angle of a triangle has a measure of 80 degree and the measures of the outer two angles are in a ratio of 2 to 3.Find the measures of the other two angles. Please show how you get the answer, thank you in advance. \n" ); document.write( "------------- \n" ); document.write( "2 to 3 is the same as 2x to 3x. \n" ); document.write( "------------------------------ \n" ); document.write( "Since the three angles add to 180 degrees you get the following equation: \n" ); document.write( "EQUATION: \n" ); document.write( "80 + 2x + 3x = 180 \n" ); document.write( "2x+3x = 100 \n" ); document.write( "5x = 100 \n" ); document.write( "x = 20 \n" ); document.write( "One of the angles is 2x=40 degrees \n" ); document.write( "The other is 3x=60 degrees \n" ); document.write( "============================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |