document.write( "Question 177875: If triangle ABC angle B is 8Degrees less than one half of angle A and angle C is 28 degress larger than angle A. Find the measues of the three angles of the triangle. \n" ); document.write( "
Algebra.Com's Answer #132852 by Mathtut(3670) ![]() You can put this solution on YOUR website! let a,b,and c be the measure of angle A, B, and C,respectively \n" ); document.write( ": \n" ); document.write( "b=(1/2)a-8....eq 1 \n" ); document.write( "c=a+28........eq 2 \n" ); document.write( "a+b+c=180.....eq 3 \n" ); document.write( ": \n" ); document.write( "take b's value from eq 1 and c's value from eq 2 and plug them into eq 3 \n" ); document.write( ": \n" ); document.write( "a+(a+28)+((1/2)a-8)=180....plugged in values \n" ); document.write( ": \n" ); document.write( "(5/2)a+20=180...collected like terms on left side \n" ); document.write( ": \n" ); document.write( "(5/2)a=160.....subtracted 20 from both sides \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "b=(1/2)a-8 \n" ); document.write( ": \n" ); document.write( "c=a+28 |