document.write( "Question 12605: Please help me with the following word problem:\r
\n" ); document.write( "\n" ); document.write( "In triangle ABC, andle B is 8 degrees less than one-half of angle A and angle C is 28 degrees larger than angle A. Find the measures of the three angles of the triangle. \r
\n" ); document.write( "\n" ); document.write( "I have to admit that I have no idea of where to start here. Please walk me through step-by-step so that I can learn how to solve these on my own.\r
\n" ); document.write( "\n" ); document.write( "Thanks!!\r
\n" ); document.write( "\n" ); document.write( "Capesch \n" ); document.write( "

Algebra.Com's Answer #6423 by AdolphousC(70) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let Angle A be your X,
\n" ); document.write( "So Angle B = (1/2)X - 8
\n" ); document.write( "Angle C = X + 28\r
\n" ); document.write( "\n" ); document.write( "

\n" ); document.write( "Since we know the three angles in a triangle add up to 180,\r
\n" ); document.write( "\n" ); document.write( " $\"+X+%2B+%281%2F2%29X+-+8+%2B+X+%2B+28+=+180+\"$ Combine Like Terms
\n" ); document.write( " $\"+%285%2F2%29X+%2B+20+=+180+\"$ Subtract 20 from both sides
\n" ); document.write( " $\"+%285%2F2%29X+=+160+\"$ Multiply by ( 2/5 )
\n" ); document.write( " $\"+X+=+64+\"$ \r
\n" ); document.write( "\n" ); document.write( "

\n" ); document.write( "So Angle A = 64
\n" ); document.write( "Angle B = .5(64) - 8 = 32 - 8 = 24
\n" ); document.write( "Angle C = 64 + 28 = 92
\n" ); document.write( "

\n" ); document.write( "92 + 24 + 64 = 180 \n" ); document.write( "

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