document.write( "Question 1022635: for which regular polygon is the ratio of an exterior angle measure to an interior angle measure 1 to 1? 2 to 1? 3 to 1? \n" ); document.write( "

Algebra.Com's Answer #638289 by stanbon(75887) $\"\"$ $\"About$

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for which regular polygon is the ratio of an exterior angle measure to an interior angle measure 1 to 1? 2 to 1? 3 to 1?
\n" ); document.write( "----------------
\n" ); document.write( "1 to 1::
\n" ); document.write( "ext + int = 180
\n" ); document.write( "ext = int
\n" ); document.write( "-----
\n" ); document.write( "2ext = 180
\n" ); document.write( "ext = 90 degrees
\n" ); document.write( "---
\n" ); document.write( "# of sides = 360 deg/90 deg = 4 (square)
\n" ); document.write( "-------
\n" ); document.write( "2 to 1::
\n" ); document.write( "ext + int = 180
\n" ); document.write( "ext = 2int
\n" ); document.write( "-----
\n" ); document.write( "ext + (1/2)ext = 180
\n" ); document.write( "(3/2)ext = 180
\n" ); document.write( "ext = 120 degrees
\n" ); document.write( "# of sides = 360 deg/120 deg = 3 (equilateral triangle)
\n" ); document.write( "--------------------------
\n" ); document.write( "3 to 1
\n" ); document.write( "ext = 3int
\n" ); document.write( "ext + int = 180
\n" ); document.write( "---
\n" ); document.write( "4 ext = 180
\n" ); document.write( "ext = 45 degrees
\n" ); document.write( "----
\n" ); document.write( "# of sides = 360 deg/45 deg = 8 sides (octagon)
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "--------------- \n" ); document.write( "

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