document.write( "Question 865487: The measures of the interior angles of a convex octagon increase by 10 degrees for each angle what is the measure of the largest angle. I tried finding the measure of the interior angle of a regular octagon and I found out that it is 135 degrees. Then, I thought that if I added these numbers (135,145,125,155,115,165,105175) that it might solve the problem, but it was incorrect. \n" ); document.write( "
Algebra.Com's Answer #521741 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! An octagon has 8 sides and the sum of the interior angles of a convex octagon is \n" ); document.write( "(8-2)(180) = 1080 degrees \n" ); document.write( "also our convex polygon has no angle pointing inward, that is, no interior angle is greater than 180 degrees \n" ); document.write( "our formula is \n" ); document.write( "(x+10) + (x+20) +(x+30) + (x+40) + (x+50) + (x+60) + (x+70) + (x+80) = 1080 \n" ); document.write( "8x + 360 = 1080 \n" ); document.write( "8x = 720 \n" ); document.write( "x = 90 \n" ); document.write( "therefore our interior angles are \n" ); document.write( "100, 110, 120, 130, 140, 150, 160, 170 \n" ); document.write( "and the largest interior angle is 170 degrees\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |