document.write( "Question 1017137: One angle in a triangle is 18degrees° more than the smallest angle in the triangle, while the other angle is 36degrees° more than the smallest angle. Find the measures of the three angles \n" ); document.write( "

Algebra.Com's Answer #633503 by ikleyn(52909) $\"\"$ $\"About$

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\n" ); document.write( "One angle in a triangle is 18° more than the smallest angle in the triangle, while the other angle is 36° more than the smallest angle. Find the measures of the three angles
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document.write( "Let x be the measure of the smallest angle in degrees.\r\n" );
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document.write( "The the measure of the first angle is x + 18°, and the measure of the other angle is x + 36°.\r\n" );
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document.write( "Since the sum of interior angles of any triangle is 180°, you have an equation\r\n" );
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document.write( "x + (x + 18) + (x + 36) = 180,   or\r\n" );
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document.write( "3x = 180 - 18 - 36,\r\n" );
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document.write( "3x = 126,\r\n" );
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document.write( "x =  = 42.\r\n" );
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document.write( "Thus the measure of the smallest angle is 42°.\r\n" );
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document.write( "Now find yourself other angles.\r\n" );
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