document.write( "Question 595896: The angles of a triangle add up to 180 degrees.\r
\n" ); document.write( "\n" ); document.write( "The second angle is 30 degrees larger than the smallest angle.\r
\n" ); document.write( "\n" ); document.write( "The third angle is 4 times as big as the smallest angle.\r
\n" ); document.write( "\n" ); document.write( "Find the measure of the smallest angle (in degrees) \n" ); document.write( "
Algebra.Com's Answer #377387 by mamiya(56)\"\" \"About 
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let x be the angle of the smallest one, y the second angle and z the third one.\r
\n" ); document.write( "\n" ); document.write( "we know that the angles of a triangle add up to 180 degrees, so x+y+z = 180\r
\n" ); document.write( "\n" ); document.write( "The second angle is 30 degrees larger than the smallest angle, y = x + 30
\n" ); document.write( "The third angle is 4 times as big as the smallest angle, z = 4x\r
\n" ); document.write( "\n" ); document.write( " x+y+z= 180
\n" ); document.write( "so we get this system of equations y= x +30
\n" ); document.write( " z = 4x\r
\n" ); document.write( "\n" ); document.write( "by plugging the last two equations into the first one , we get
\n" ); document.write( "x+y+z=180 --> x + x+30 + 4x = 180
\n" ); document.write( " --> 6x + 30 = 180
\n" ); document.write( " --> 6x = 180-30
\n" ); document.write( " --> 6x = 150
\n" ); document.write( " --> x = 150/6
\n" ); document.write( " --> x = 25\r
\n" ); document.write( "\n" ); document.write( "so the measure of the smallest angle is 25 degrees.
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