document.write( "Question 51685: In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 8degrees less than the measure of the second angle. What is the measure of each angle? \n" ); document.write( "
Algebra.Com's Answer #34476 by mathchemprofessor(65)![]() ![]() You can put this solution on YOUR website! Let the measure of the second angle be x degrees. Since the measure of the first angle is twice that of the second one, the first angle is 2x. \n" ); document.write( "Given that, the third angle is 8 degrees less than the second one, it should be (x-8) degrees. \n" ); document.write( "Sum of the angles in a triangle=180 degrees \n" ); document.write( "So,2x+x+(x-8)=180 \n" ); document.write( "4x-8=180 \n" ); document.write( "4x=180+8=188 \n" ); document.write( "Dividing both sides by 4, we get \n" ); document.write( "x=47 \n" ); document.write( "So, the first angle is 2*47=94 degrees \n" ); document.write( "Second angle=47 degrees \n" ); document.write( "Third angle=47-8=39 degrees. \n" ); document.write( " |