document.write( "Question 1075745: The interior angle of a polygon is 100 . The other interior angles are all equal to 110 . How many sides has the polygon ? \n" ); document.write( "
Algebra.Com's Answer #690377 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The interior angle of a polygon is 100 . The other interior angles are all equal to 110 . How many sides has the polygon ?
\n" ); document.write( "--------
\n" ); document.write( "The sum of the exterior angles is 360 degrees.
\n" ); document.write( "The 100 degree interior angle has an exterior of 80 degree
\n" ); document.write( "Each of the 110 degree interior angles has an exterior of 70 degrees
\n" ); document.write( "-------
\n" ); document.write( "Let \"n\" be the number of sides, then there are n exterior angles.
\n" ); document.write( "----
\n" ); document.write( "Exterior Angle Equation::
\n" ); document.write( "80 + (n-1)70 = 360 degrees
\n" ); document.write( "70(n-1) = 280
\n" ); document.write( "n-1 = 4
\n" ); document.write( "n = 5 (# of sides)
\n" ); document.write( "--------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "------------
\n" ); document.write( "
\n" );