document.write( "Question 65881: One angle if a triangle is twice another. The third angle is three times the smallest. Find the measure of the smallest angle. \n" ); document.write( "
Algebra.Com's Answer #46643 by Edwin McCravy(20056)\"\" \"About 
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One angle of a triangle is twice another.\r\n" );
document.write( "The third angle is three times the smallest. \r\n" );
document.write( "Find the measure of the smallest angle.\r\n" );
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document.write( "Let the smallest angle be A\r\n" );
document.write( "Let the middle-sized angle be B\r\n" );
document.write( "Let the largest angle be C.\r\n" );
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document.write( "There are two possibilities because the first \r\n" );
document.write( "sentence is ambiguous.\r\n" );
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document.write( "1. If the middle-sized angle is twice the \r\n" );
document.write( "   smallest angle, then,\r\n" );
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document.write( "B = 2A\r\n" );
document.write( "C = 3A\r\n" );
document.write( "A + B + C = 180\r\n" );
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document.write( "Do you know how to solve that system of\r\n" );
document.write( "equations?  If not post again asking how.\r\n" );
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document.write( "Solve that system and get\r\n" );
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document.write( "A = 30°, B = 60°, C = 90°\r\n" );
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document.write( "so the smallest angle is A or 30°.\r\n" );
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document.write( "2. If the largest angle is twice the \r\n" );
document.write( "   middle-sized angle, then\r\n" );
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document.write( "C = 2B\r\n" );
document.write( "C = 3A\r\n" );
document.write( "A + B + C = 180\r\n" );
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document.write( "Solve that system and get:\r\n" );
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document.write( "A = 32 8/11°, B = 49 1/11°, 98 2/11°\r\n" );
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document.write( "so the smallest angle is 32 8/11°\r\n" );
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document.write( "Edwin
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