document.write( "Question 937854: In a triangle, the measure of the first angle is 4 times the measure of the second angle. The measure of the third angle is 36 degrees more than the second angle. What is the measure of the first angle? \n" ); document.write( "

Algebra.Com's Answer #571251 by MathTherapy(10551) $\"\"$ $\"About$

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\n" ); document.write( "In a triangle, the measure of the first angle is 4 times the measure of the second angle. The measure of the third angle is 36 degrees more than the second angle. What is the measure of the first angle?
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document.write( "Let measure of 2nd angle, be S
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document.write( "Then measure of 1st angle is: 4S
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document.write( "Also, measure of 3rd angle is: S + 36
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document.write( "A triangle's angles sum to , so we get:
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document.write( "S + 4S + S + 36 = 180
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document.write( "6S + 36 = 180
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document.write( "6S = 180 - 36
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document.write( "6S = 144
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document.write( "S, or 2nd angle measures: , or 
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document.write( "1st angle measures: 4(24) or 
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document.write( "3rd angle measures: 24 + 36, or  \n" );
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