document.write( "Question 193496: One angle of a triangle is 20 degrees. The second angle's measurement is four times the third. What is the measure of the third? \n" ); document.write( "
Algebra.Com's Answer #145246 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
One angle of a triangle is 20 degrees. The second angle's measurement is four times the third. What is the measure of the third?
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document.write( "Since we know it's a triangle with one angle, the first angle A, \r\n" );
document.write( "the second angle B, and third angle C, we know that all three angles \r\n" );
document.write( "of any triangle must have sum 180°, so\r\n" );
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document.write( "A + B + C = 180 \r\n" );
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\n" ); document.write( "One angle
 (the first angle), A,
of a triangle is 20 degrees.
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document.write( "So\r\n" );
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document.write( "A = 20\r\n" );
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\n" ); document.write( "The second angle's
, B's,
measurement is four times
 C,
the third\".
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document.write( " So\r\n" );
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document.write( "B = 4C\r\n" );
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document.write( "So we can take the first equation\r\n" );
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document.write( "A + B + C = 180\r\n" );
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document.write( "and substitute 20 for A and 4C for B\r\n" );
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document.write( "20 + 4C + C = 180\r\n" );
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document.write( "    20 + 5C = 180\r\n" );
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document.write( "         5C = 180 - 20\r\n" );
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document.write( "         5C = 160\r\n" );
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document.write( "          C = 32°\r\n" );
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document.write( "That is the measure of the third,\r\n" );
document.write( "but if you had been asked for B it\r\n" );
document.write( "would have been calculated from\r\n" );
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document.write( "B = 4C\r\n" );
document.write( "B = 4(32°) = 128°\r\n" );
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document.write( "Then you could check the answer by checking\r\n" );
document.write( "the original words using:\r\n" );
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document.write( "First angle = A = 20°,\r\n" );
document.write( "Second angle = B = 128°\r\n" );
document.write( "Third angle = 32°\r\n" );
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\n" ); document.write( ">>...One angle of a triangle is 20 degrees...<<
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document.write( "That checks because the first angle is 20°\r\n" );
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\n" ); document.write( ">>...The second angle's measurement is four times the third...<<
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document.write( "That checks because 128° is 4x32°\r
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document.write( "Edwin\n" );
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