<PRE><B>Question 135140</B>
If the exterior angles of a convex octagon are x+13, 2x-1, 2x+6, 2x+12, 2x-17, 3x-4, 3x-10, and 4x, calculate the smallest of the eight angles.
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The exterior angles of a convex polygon always add up to 360 degrees.

EQUATION:
Adding your angles you get: 19x-14 = 360
19x = 374
x = (374/19) degrees
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2x-1 is the smallest angle:
2(374/19) -1= 38.3684 degrees
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Cheers,
Stan H.</PRE>