document.write( "Question 21747: if the degree measure of the smallest angle of a triangle is one-half of the degree measure of the second largest angle and one-third of the degree measure of the largest angle, then what is the degree measure of each angle?
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document.write( " Please help me with this \n" );
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Algebra.Com's Answer #11649 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! if the degree measure of the smallest angle of a triangle is one-half of the degree measure of the second largest angle and one-third of the degree measure of the largest angle, then what is the degree measure of each angle? \n" ); document.write( "LET THE SMALLEST ANGLE =X DEGREES \n" ); document.write( "THIS ONE HALF OF SECOND LARGEST ANGLE \n" ); document.write( "HENCE SECOND LARGEST ANGLE =2X \n" ); document.write( "SMALLEST ANGLE IS ONE THIRD OF THE LARGEST ANGLE. \n" ); document.write( "HENCE LARGEST ANGLE =3X \n" ); document.write( "TOTAL OF 3 ANGLES =X+2X+3X=6X..BUT TOTAL OF ALL 3 ANGLES IN A TRIANGLE =180 DEGREES \n" ); document.write( "HENCE 6X = 180 \n" ); document.write( "X=180/6 = 30 DEGREES .HENCE THE 3 ANGLES ARE 30,60 AND 90 DEGREES. \n" ); document.write( " |