document.write( "Question 212266: measure of interior angle of regular polygon is ten times measure of exterior angle. How many sides to polygon? \n" ); document.write( "

Algebra.Com's Answer #161062 by RAY100(1637) $\"\"$ $\"About$

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Interior angle = (n-2)(180) / n
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\n" ); document.write( "Exterior angle = 360/n
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\n" ); document.write( "where n= number of sides
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\n" ); document.write( "(n-2)(180)/n = 10 * 360/n
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\n" ); document.write( "180n-360 = 3600
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\n" ); document.write( "180n = 3960
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\n" ); document.write( "n= 22
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\n" ); document.write( "check ,,,interior = 20*180/22=163.636
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\n" ); document.write( "exterior = 360 / 22 =16.3636,,,,,ok \n" ); document.write( "

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