document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=963906>Question 963906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a convex octagon, three of the exterior angles each have a measure of xº.  The other five exterior angles each have a measure of (2x+7)º.  Find the measure of each exterior angle. </SPAN>\n" );
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document.write( "The sum of the exterior angles of any polygon is 360 degrees, so:<BR>\n" );
document.write( "(3)(x degrees) + (5)(2x+7 degrees) = 360 degrees<BR>\n" );
document.write( "3x degrees + (10x+35) degrees=360 degrees Subtract 35 degrees from each side.<BR>\n" );
document.write( "13x degrees=325 degrees Divide each side by 13.<BR>\n" );
document.write( "x=25 degrees<BR>\n" );
document.write( "The three smaller angles each measure 25 degrees.<BR>\n" );
document.write( "The five larger angles measure (2x+7)=2(25)+7=57 degrees.<BR>\n" );
document.write( "CHECK: <BR>\n" );
document.write( "The sum of the exterior angles is 360 degrees.<BR>\n" );
document.write( "3(25 degrees)+5(57 degrees)=360 degrees<BR>\n" );
document.write( "75 degrees+285 degrees=360 degrees<BR>\n" );
document.write( "360 degrees=360 degrees </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );