document.write( "Question 271025: One angle of a trapezoid measures 10˚ greater than the smallest angle; a third angle measures five times the smallest angle; and the fourth angle measures 20˚ greater than four times the smallest angle. Find the measure of the four angles. \n" ); document.write( "
Algebra.Com's Answer #198430 by drk(1908)\"\" \"About 
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One angle of a trapezoid measures 10˚ greater than the smallest angle
\n" ); document.write( "translates as
\n" ); document.write( "(i) x = s + 10
\n" ); document.write( "a third angle measures five times the smallest angle
\n" ); document.write( "translates as
\n" ); document.write( "(ii) y = 5s
\n" ); document.write( "the fourth angle measures 20˚ greater than four times the smallest angle
\n" ); document.write( "translates as
\n" ); document.write( "(iii) z = 4s + 20
\n" ); document.write( "The sum of all angles is
\n" ); document.write( "(iv) S + x+ y + z = 360
\n" ); document.write( "by substitution of (i), (ii) and (iii) into (iv), we get
\n" ); document.write( "(v) s + s + 10 + 5s + 4s + 20 = 360
\n" ); document.write( "combine like terms to get
\n" ); document.write( "(v) 11s + 30 = 360
\n" ); document.write( "subtract 30 to get
\n" ); document.write( "(vi) 11s = 330
\n" ); document.write( "divide by 11 to get
\n" ); document.write( "s = 30
\n" ); document.write( "This means that
\n" ); document.write( "x = 40
\n" ); document.write( "y = 150
\n" ); document.write( "z = 140 \n" ); document.write( "
\n" );