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x = (4n-20)
\n" ); document.write( "y = (n+10)
\n" ); document.write( "z = (130 - 5n)
\n" ); document.write( "the sum of the angles in a triangle is 180 degrees.
\n" ); document.write( "since x, y, and z are all interior angles of the triangle, then they must add up to 180 degrees.
\n" ); document.write( "you get:
\n" ); document.write( "(4n-20) + (n+10) + (130-n) = 180
\n" ); document.write( "remove parentheses to get:
\n" ); document.write( "4n - 20 + n + 10 + 130 - n = 180
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "4n + 120 = 180
\n" ); document.write( "subtract 120 from both sides of this equation to get:
\n" ); document.write( "4n = 60
\n" ); document.write( "divide both sides of this equation by 4 to get:
\n" ); document.write( "n = 15
\n" ); document.write( "since you know what n is, you can now find each of the angles.
\n" ); document.write( "4n-20 = 60-20 = 40
\n" ); document.write( "n+10 = 15+10 = 25
\n" ); document.write( "130-n = 130-15 = 115
\n" ); document.write( "sum of the angles is 40 + 25 + 115 = 65 + 115 = 180
\n" ); document.write( "you are asked to find an exterior angle.
\n" ); document.write( "you can find the exterior angle of any of the interior angle by just subtracting that angle from 180 degrees.
\n" ); document.write( "exterior angle of 40 degrees = 180 - 40 = 140 degrees
\n" ); document.write( "exterior angle of 25 degrees = 180 - 25 = 155 degrees
\n" ); document.write( "exterior angle of 115 degrees = 180 - 115 = 65 degrees
\n" ); document.write( "since the sum of the exterior angles of a polygon is equal to 360 degrees, then 140 + 155 + 65 must be equal to 360 if we did this correctly.
\n" ); document.write( "it is and we did.
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