document.write( "Question 136001: The measures of the interior angles of a convex octagon are 45x, 40x, 155, 120, 155, 38x, 158, and 41x. What is the measure of the smallest interior angle? \n" ); document.write( "
Algebra.Com's Answer #99639 by nycsharkman(136)\"\" \"About 
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The sum of the interior angles of an octagon is 1080 degrees.\r
\n" ); document.write( "\n" ); document.write( "You were given:\r
\n" ); document.write( "\n" ); document.write( "45x, 40x, 155, 120, 155, 38x, 158, and 41x. You were told to find the smallest angle. The smallest angle is 38x but we need to find x first.\r
\n" ); document.write( "\n" ); document.write( "We add what has been given, equate to 1080 and solve for x.\r
\n" ); document.write( "\n" ); document.write( "45x + 40x + 155 + 120 + 155 + 38x + 158 + 41x = 1080\r
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\n" ); document.write( "\n" ); document.write( "164x + 588 = 1080\r
\n" ); document.write( "\n" ); document.write( "Subtract 588 from 1080.\r
\n" ); document.write( "\n" ); document.write( "164x = 1080 - 588\r
\n" ); document.write( "\n" ); document.write( "164x = 492\r
\n" ); document.write( "\n" ); document.write( "Divide both sides by 164.\r
\n" ); document.write( "\n" ); document.write( "x = 492/164\r
\n" ); document.write( "\n" ); document.write( "x = 3\r
\n" ); document.write( "\n" ); document.write( "We now multiply 3 times 38 to find the smallest angle.\r
\n" ); document.write( "\n" ); document.write( "Smallest angle = 3 times 38\r
\n" ); document.write( "\n" ); document.write( "Smallest angle = 114\r
\n" ); document.write( "\n" ); document.write( "Is this clear?\r
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