document.write( "Question 1052612: In a triangle, angle A is 20 degrees more than twice times as angle B and 45 degrees less than angle C. Find the measure of each angle. Please Help!!!! \n" ); document.write( "

Algebra.Com's Answer #667987 by Fombitz(32388) $\"\"$ $\"About$

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The sum of the angles in any triangle is 180.
\n" ); document.write( " $\"A%2BB%2BC=180\"$
\n" ); document.write( "So you also know,
\n" ); document.write( " $\"A=20%2B2B\"$
\n" ); document.write( "and
\n" ); document.write( " $\"A=C-45\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"A-20=2B\"$
\n" ); document.write( " $\"B=%28A-20%29%2F2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"C=A%2B45\"$
\n" ); document.write( "Substitute into the top equation,
\n" ); document.write( " $\"A%2B%28A-20%29%2F2%2BA%2B45=180\"$
\n" ); document.write( "Multiply both sides by $\"2\"$ ,
\n" ); document.write( " $\"2A%2BA-20%2B2A%2B90=360\"$
\n" ); document.write( " $\"5A%2B70=360\"$
\n" ); document.write( " $\"5A=290\"$
\n" ); document.write( " $\"A=58\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"C=58%2B45\"$
\n" ); document.write( " $\"C=103\"$
\n" ); document.write( "and
\n" ); document.write( " $\"B=%2858-20%29%2F2\"$
\n" ); document.write( " $\"B=38%2F2\"$
\n" ); document.write( " $\"B=19\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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