document.write( "Question 493661: a regular n-gon has a vertex angle that measure 140 degrees. based on the measure for this n-gon find:
\n" ); document.write( "how many sides are there for this n-gon?
\n" ); document.write( "what is the measure of an exterior angle?
\n" ); document.write( "what is the measure of a central angle?
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Algebra.Com's Answer #335420 by stanbon(75887)\"\" \"About 
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a regular n-gon has a vertex angle that measure 140 degrees. based on the measure for this n-gon find:
\n" ); document.write( "what is the measure of an exterior angle?
\n" ); document.write( "Ans: 180-140 = 40
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\n" ); document.write( "how many sides are there for this n-gon?
\n" ); document.write( "Since the sum of the exterior angles is 360,
\n" ); document.write( "# of ext. angles = 360/40 = 9
\n" ); document.write( "= # of sides
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\n" ); document.write( "what is the measure of a central angle?
\n" ); document.write( "Draw the picture and you will see
\n" ); document.write( "9 issosceles triangles.
\n" ); document.write( "The equal angles are (1/2)(140) = 70
\n" ); document.write( "Central angle = 180-2(70) = 40 degrees
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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