document.write( "Question 135140: Hi, I have been having trouble on my math homework on this question and I was wondering if you could please help me: If the exterior angles of a convex octagon are x+13, 2x-1, 2x+6, 2x+12, 2x-17, 3x-4, 3x-10, and 4x, calculate the smallest of the eight angles.
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document.write( "I would really appreciate your help, I've been stuck on this problem all day. Thanks for taking your time. \n" );
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Algebra.Com's Answer #98983 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If the exterior angles of a convex octagon are x+13, 2x-1, 2x+6, 2x+12, 2x-17, 3x-4, 3x-10, and 4x, calculate the smallest of the eight angles. \n" ); document.write( "------------------- \n" ); document.write( "The exterior angles of a convex polygon always add up to 360 degrees.\r \n" ); document.write( "\n" ); document.write( "EQUATION: \n" ); document.write( "Adding your angles you get: 19x-14 = 360 \n" ); document.write( "19x = 374 \n" ); document.write( "x = (374/19) degrees \n" ); document.write( "------------------- \n" ); document.write( "2x-1 is the smallest angle: \n" ); document.write( "2(374/19) -1= 38.3684 degrees \n" ); document.write( "================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |