document.write( "Question 185442: a polygon has n sides.two of its angles are right-angles.each of the remaining angles is equal to equal to 150 degrees.calculate n. \n" ); document.write( "
Algebra.Com's Answer #148418 by J2R2R(94)\"\" \"About 
You can put this solution on YOUR website!
For a polygon of n sides, the sum of all angles is 180n – 360 degrees\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "We are given that two sides are 90 degrees and the remainder are 150 degrees\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Therefore 180n – 360 = 150(n – 2) + 90 x 2 = 150n – 300 + 180\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "180n = 150n + 360 + 180 – 300\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "30n = 240\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "n = 8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Therefore it is an octagon with six angles 150 degrees and two right angles.
\n" ); document.write( "
\n" );