document.write( "Question 374318: The measures of two angles in a triangle are in the ratio of 2:4. The measure of the larger angle is 24 degrees less than 3 times the smaller angle. What is the measure of the larger angle?\r
\n" ); document.write( "\n" ); document.write( "Answer: I believe the larger angle is 48 degrees. But that was by guessing.
\n" ); document.write( "I tried to solve 2 equations L = 2*S and L = 3*S - 24
\n" ); document.write( "But this didn't work.\r
\n" ); document.write( "\n" ); document.write( "Thanks in advance. \n" ); document.write( "
Algebra.Com's Answer #266379 by checkley79(3341)\"\" \"About 
You can put this solution on YOUR website!
48 degrees CANNOT be the largest angle because.
\n" ); document.write( "One of the angles MUST be greater than 60 degree. (3*60=180)
\n" ); document.write( "-----------------------------------------------------------
\n" ); document.write( "x+2x+(3x-24)=180
\n" ); document.write( "6x=180+24
\n" ); document.write( "6x=204
\n" ); document.write( "x=204/6
\n" ); document.write( "x=34 degrees is the smaller angle.
\n" ); document.write( "3*34=68 degrees is the middle angle.
\n" ); document.write( "3*34-24=102-24=78 degrees is the largest angle.
\n" ); document.write( "Proof:
\n" ); document.write( "34+68+78=180
\n" ); document.write( "180=180
\n" ); document.write( " \n" ); document.write( "
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