Question 364488
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Hi, 
Sum of the angles in a convex polygons of n sides is 180(n-2) degrees
n = 10
180° * 8 = 1440°
smallest is 100° & angles increase in an arithmetic sequence.
S = (n/2)(2a + (n-1)d)
1440 = 5 (200 + 9d)
288 = 200 + 9d
88 = 9d
{{{a[n] = a[1] + (n-1)d}}}
{{{a[10] = 100 + 88}}}  
{{{a[10] = 188}}}

n= 5
180° * 3 = 540°
540° = x +  y +   z     +     u         +   v
540° = x + 2x + (3/5)2x + (4/5)(3/5)2x  + (3/5)2x
simplify and solve for x
25* 540° = x + 2x + + (6/5)x + (24/25)x + (6/5)x 
25* 540° = 25x + 50x + + 30x +  24x + 30x 
25*540 = 159x
84.9 = x
largest is 2x = 169.8 degrees