document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998746>Question 998746</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In quadrilateral MATH, angle M = x(degrees), angle A = 3x(degrees), angle T = (x-30)(degrees). What is the measure of an exterior angle at H, expressed in terms of x?  </SPAN>\n" );
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document.write( "Let y = measure of the exterior angle at H\r<BR>\n" );
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document.write( "For any given interior angle, the exterior angle is simply 180 minus that given angle. For example, if the interior angle is 30 degrees, then the exterior angle is 180 - 30 = 150 degrees. If the interior angle is x degrees, then the exterior angle is 180 - x degrees.\r<BR>\n" );
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document.write( "angle M = x(degrees)<BR>\n" );
document.write( "exterior to angle M = 180 - x\r<BR>\n" );
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document.write( "angle A = 3x(degrees)<BR>\n" );
document.write( "exterior to angle A = 180 - 3x\r<BR>\n" );
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document.write( "angle T = (x-30)(degrees)<BR>\n" );
document.write( "exterior to angle T = 180 - (x-30)<BR>\n" );
document.write( "exterior to angle T = 180 - x+30<BR>\n" );
document.write( "exterior to angle T = 210 - x\r<BR>\n" );
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document.write( "Summary so far:<BR>\n" );
document.write( "exterior to angle M = 180 - x<BR>\n" );
document.write( "exterior to angle A = 180 - 3x<BR>\n" );
document.write( "exterior to angle T = 210 - x<BR>\n" );
document.write( "exterior to angle H = y\r<BR>\n" );
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document.write( "In any polygon, the sum of the exterior angles is 360 degrees. This applies to quadrilaterals because they are 4 sided polygons. \r<BR>\n" );
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document.write( "(exterior angle for M)+(exterior angle for A)+(exterior angle for T)+(exterior angle for H) = 360<BR>\n" );
document.write( "(180-x)+(180-3x)+(210-x)+(y) = 360<BR>\n" );
document.write( "180-x+180-3x+210-x+y = 360<BR>\n" );
document.write( "570-5x+y = 360<BR>\n" );
document.write( "570-5x+y+5x = 360+5x<BR>\n" );
document.write( "570+y = 360+5x<BR>\n" );
document.write( "570+y-570 = 360+5x-570<BR>\n" );
document.write( "y = -210+5x<BR>\n" );
document.write( "y = 5x-210\r<BR>\n" );
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document.write( "At the top we said \"Let y = measure of the exterior angle at H\"<BR>\n" );
document.write( "So because y = 5x-210, the exterior angle measure of H in terms of x is <font color=\"red\">5x-210</font><BR>\n" );
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