document.write( "Question 364488: For each of the convex polygons of n sides, find the
\n" ); document.write( "measure of the largest interior angle.\r
\n" ); document.write( "\n" ); document.write( "a. n=10, the smallest interior angle measures 100 degrees
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\n" ); document.write( "b. n=5, the measures of the angles are labeled x,
\n" ); document.write( "y, z, u, v, where is of y = 2x , z is 3/5 of y, u is 4/5 of z , and v = z.
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Algebra.Com's Answer #259909 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi, 
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document.write( "Sum of the angles in a convex polygons of n sides is 180(n-2) degrees
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document.write( "n = 10
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document.write( "180° * 8 = 1440°
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document.write( "smallest is 100° & angles increase in an arithmetic sequence.
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document.write( "S = (n/2)(2a + (n-1)d)
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document.write( "1440 = 5 (200 + 9d)
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document.write( "288 = 200 + 9d
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document.write( "88 = 9d
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document.write( "n= 5
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document.write( "180° * 3 = 540°
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document.write( "540° = x +  y +   z     +     u         +   v
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document.write( "540° = x + 2x + (3/5)2x + (4/5)(3/5)2x  + (3/5)2x
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document.write( "simplify and solve for x
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document.write( "25* 540° = x + 2x + + (6/5)x + (24/25)x + (6/5)x 
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document.write( "25* 540° = 25x + 50x + + 30x +  24x + 30x 
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document.write( "25*540 = 159x
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document.write( "84.9 = x
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document.write( "largest is 2x = 169.8 degrees \n" );
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