document.write( "Question 1009952: I was doing some practice problems when I came across a very difficult question. Here is my problem. Please help.\r
\n" ); document.write( "\n" ); document.write( "A real estate investor is examining a triangular plot of land. She measures each angle of the field. The sum of the first and second angles is 78° more than the measure of the third angle. If the measure of the third angle is subtracted from the measure of the second angle, the result is twice the measure of the first angle. Find the measure of the sum of the first and second angles. \n" ); document.write( "

Algebra.Com's Answer #625441 by MathTherapy(10557) $\"\"$ $\"About$

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I was doing some practice problems when I came across a very difficult question. Here is my problem. Please help.\r
\n" ); document.write( "\n" ); document.write( "A real estate investor is examining a triangular plot of land. She measures each angle of the field. The sum of the first and second angles is 78° more than the measure of the third angle. If the measure of the third angle is subtracted from the measure of the second angle, the result is twice the measure of the first angle. Find the measure of the sum of the first and second angles.
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Let measure of  and  angles be F, and S, respectively
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document.write( "Then measure of 3rd angle is: F + S - 78
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document.write( "Also, S - (F + S – 78) = 2F______S – F – S + 78 = 2F______- F + 78 = 2F_____3F = 78
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document.write( "F, or  angle measures: , or 
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document.write( "Measure of  angle: 
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document.write( "Measure of  angle: S
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document.write( "Measure of  angle: F + S – 78, or 26 + S - 78, or S - 52
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document.write( "We then get: 26 + S + S – 52 = 180 ------ Angles of a triangle are supplementary
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document.write( "2S – 26 = 180
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document.write( "2S = 180 + 26
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document.write( "2S = 206
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document.write( "S, or  angle measures: , or \r
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document.write( "Sum of the measures of the  and  angles: 26 + 103, or  \n" );
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